Triangle JKL is isosceles. The meansure of angle J is 72degrees and the measure angle K is 36 degrees. Which satement describes angle L?

Answers

Answer 1

Angle L in triangle JKL is [tex]$ 180^\circ - (72^\circ + 36^\circ) = 72^\circ $[/tex]. Therefore, angle L measures [tex]$ 72^\circ $.[/tex]

1. Start with the fact that triangle JKL is isosceles, which means that angles J and K are congruent.

2. Given that angle J measures [tex]$ 72^\circ $[/tex] and angle K measures $ 36^\circ $, the sum of angles J and K is [tex]$ 72^\circ + 36^\circ = 108^\circ $.[/tex]

3. Since the triangle is isosceles, the base angles (angles J and K) are congruent, so each measures half of the sum of angles J and K, which is [tex]$ \frac{108^\circ}{2} = 54^\circ $.[/tex]

4. Since angle L is the remaining angle in the triangle and the sum of the angles in a triangle is $ 180^\circ $, we subtract the sum of angles J and K from [tex]$ 180^\circ $[/tex] to find the measure of angle L: [tex]$ 180^\circ - 108^\circ = 72^\circ $[/tex].

5. Therefore, angle L measures [tex]$ 72^\circ $[/tex].

Related Questions

is 4/2 an integer?
I am stumped, so that is why I want to know

Answers

Yes, it is considered an integer because it is equal to a number which can be written without a decimal point.

An interger is any whole number with no decimal places.

This means that you can divide 4 by 2 to get 2

2 is a whole number thus 4/2 is an interger.

Hope this helps! :)

It says to find each product

Answers

31= -90 and 32= -51 these are the answers

Assuming you meant by the [tex]-[/tex] means that it is a negative

[tex]Number[/tex] [tex]31.[tex]33.[/tex] [/tex]: [tex],6(-5) = -30 \\ -30(3) = -90 [/tex]

[tex]Number[/tex] [tex]33.[/tex]: [tex]8(-6) = -48 \\-48(-3) = 144 [/tex]

So, [tex]31[/tex] answer is [tex]-90[/tex]

and [tex]33[/tex] answer would be: [tex]144[/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn[/tex]

[tex]Remember [/tex]
Neg + Neg = pos

pos + pos = pos

neg + pos = neg

pos + neg = neg

which rational number must be added to3\7to get -3\4 ?

Answers

[tex]\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}[/tex]

Solve 4w = 2w - 12. Plis help me with that

Answers

W= -6

4w=2w-12
4w-2w=2w-12-2w
2w/2=-12/2
w=-6

Solve for W and make sure w is isolated

Hello there!

Solve for w;
4w = 2w - 12
First, we need to establish that our primary goal is to get w on one side by itself.
Subtract 2w from both sides.
4w - 2w = 2w
2w - 2w = 0
2w = -12
Divide both sides by 2 to solve for w.
2w / 2 = w
-12 / 2 = -6
w = -6

I hope this helps!

The two lines, A and B, are graphed below: Line A is drawn by joining ordered pairs negative 3,18 and 9, negative 6. Line B is drawn by joining ordered pairs negative 5, negative 2 and 8,17 Determine the solution and the reasoning that justifies the solution to the systems of equations. (−4, 6), because both the equations are true for this point (2, 8), because the graph of the two equations intersects at this point (2, 8), because neither of the two equations are true for this coordinate point (−4, 6), because the graph of the two equations intersects the x-axis at these points

Answers

The solution of the linear equations that are written in this item can be calculated by locating the point at which these lines intersect. Fortunately enough in this item, we are directly given with the graphs and their intersection.

Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.

The answer is therefore the second choice.

Answer:

B. (2,8) because the graph of the two equations intersects at this point.

Step-by-step explanation:

Angle DAB measures ( 2x4 )°− and angle BCD measures 47°. Find x.

Answers

from the very small amount of information you gave i gather the answer is 12.25

Find the product of 6, m and 5. Then, identify the coefficient.

Answers

The product of 6 m and 5 would be 30m.
The coefficient is 30, since the coefficient is the number next to the variable.

it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if they worked together.

Answers

(17/70)x = 70/70(17x)/70 = 70/7017x = 70x = 70/17x ≈ 4.1176

Final answer:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, it would take them approximately 4.11 hours to clean the attic if they worked together.

Explanation:

If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, we can find the rates at which they clean per hour. Trevon cleans at a rate of 1/10 of the attic per hour, and Cody cleans at a rate of 1/7 of the attic per hour. To find out how long it would take them if they worked together, we add their rates: 1/10 + 1/7 = 17/70. This means that together, they can clean 17/70 of the attic per hour.

To find out how long it would take for them to clean the whole attic, we divide 1 (representing the full attic) by their combined rate: 1 / (17/70) = 70/17 = 4.11 hours (rounded to the nearest hundredth).

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please solve x+9.72=21

Answers

11.28 because you need to get the variable by itself so you subtract 9.72 from 21

11.28=x that is the answer all you have to do is subtract 9.72 on both sides

Simon used a probability simulator to roll a 12-sided number cube 100 times. His results are shown in the table below:

Number on
the Cube Number of
Times Rolled
1
18
2
5
3
16
4
12
5
10
6
5
7
8
8
14
9
2
10
5
11
2
12
3

Using Simon's simulation, what is the frequency of rolling a 3 on the number cube? (5 points)

100 over 16

100 over 84

16 over 100

84 over 100

Answers

The probability would be 16 over 100.

We can tell this because by the table, the number 3 was rolled 16 total times. You can state the probability by expressing with the number of times rolled over total times rolled. Since it was rolled a total of 100 times, we are left with 16/100.

Answer:

The probability would be 16/100

Step-by-step explanation:

I took the test and got it right!! :)

3 litters were born last year and each litter had 7 puppies how many puppies were born last year

Answers

3 litters, 7 puppies in each litter, 3 x 7= 21 puppies last year

in this situation, you are finding how many puppies per litter. you know that there are 3 litters, and that there are 7 puppies per litter, so if you add 7 three times, you get 21. another way you can find it is that you multiply 7*3=21

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram ABCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b).

What formula can he use to determine the distance from point C to point D?

Answers

The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = [tex] \sqrt{( x_{1}- x_{0}) ^{2}+ ( y_{1}- y_{0}) ^{2} } [/tex]
CD = [tex] \sqrt{(a-0)^{2}+ (b-b)^{2} } [/tex]

Wrong on apex is is a-0+(b-b)2=a2=a

find the apporximate side length of a square game board with an area of 151 in2

Answers

Final answer:

To find the approximate side length of a square game board with an area of 151 in², take the square root of 151.

Explanation:

To find the approximate side length of a square game board with an area of 151 in2, we can use the formula for the area of a square, which is length x width. Since all sides of a square are equal, we can represent the side length as 's'. So, s x s = 151. To find the side length, we can take the square root of 151, which is approximately 12.29 inches. Therefore, the approximate side length of the square game board is 12.29 inches.

An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?

Answers

First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5

Using general term formula,

[tex]t_{n} = a + (n-1)d[/tex]

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.

When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. what was the approximate percentage change in her length?

Answers

26.25/20.5 * 100% = 128%
128% - 100% = 28%

Answer:

28% and she increased by 5.75 inches. Hope this helped

Step-by-step explanation:

Solve the equation. 3.1x + 4.6 = 10.8

Answers

x = 2

3.1x + 4.6 = 10.8

3.1x + 4.6 - 4.6 = 10.8 -4.6
3.1x = 6.2
3.1x/3.1 = 6.2/3.1
x=2

3.1x+4.6=10.8
3.1x+4.6(−4.6)=10.8(−4.6)
3.1x=6.2

3.1x/3.1=6.2/3.1

x=2

3.1(2)+4.6=10.8

mr. lee had a bag of red beans and a bag of black beans. 20% of the total number of beans were black, and there were 180 ounces more red beans than black beans. he transferred some red beans to the bag containing black beans, so that, the bag now contained 30% of the total number of beans. How many ounces of beans were there in the bag of mixed beans

Answers

r = b+180
b = .2(r+b)
so,
b = 60
r = 240
Total beans = 300 oz

After the transfer, 30% = 90 oz

Final answer:

After finding the total weight of beans based on the given percentages and difference in weight between red and black beans, we determine that there are 90 ounces of beans in the mixed bag.

Explanation:

The question asks us to find out how many ounces of beans are now in the bag of mixed beans, given certain percentages before and after mixing. We know that initially, 20% of the total beans are black, and the rest are red. After Mr. Lee transferred some red beans to the bag containing black beans, the bag contained 30% of the total number of beans.

To solve this, let's denote the total number of beans by T, the number of black beans by B, and the number of red beans by R. According to the information provided:

20% of T is black beans: B = 0.20TThere are R = B + 180 oz of red beans.After transferring, the mixed bag contains 30% of T.

First, we use the initial conditions to write an equation for the total number of beans T. Since R is 180 ounces more than B:

T = B + R

T = B + (B + 180)

T = 2B + 180

Given that B is 20% of T, we can also write this as:

T = 2(0.20T) + 180

T = 0.40T + 180

We can now solve for T:

T - 0.40T = 180

0.60T = 180

T = 180 / 0.60

T = 300 ounces

Since we know that the mixed bag contains 30% of the total, we calculate 30% of 300 ounces:

30% of T = 0.30 x 300

30% of T = 90 ounces

Therefore, after transferring, there are 90 ounces of beans in the mixed bag.

Greg bought 2 boxes of balloons he used half of them to decorate his yard he used 40 to decorate his porch he used the rest inside his house how many balloons did he use

Answers

you need more information like how many balloons there per box.we suppose it is 100. And we know that he uses 1 box for yard.Then you use 100-40 to get the answer 60.

Xavier is two years more than twice as old as Yoko. The sum of their ages is 86. How old is Xavier?

Answers

Answer :Xavier is 56
Xavier is 2+2x of Yoko when you put 28 in x
28 times 2
56 +2
58
58+28
86

Nina has 5 bills and 10 bills in her wallet. She has a. total of 7 bills with a value of $55. How many of each type of Bill does she have?

Answers

Answer:

4 tens3 fives

Step-by-step explanation:

If all were $5 bills, the total would be $35. It is $20 more than that. Each time a $5 bill is replaced by a $10 bill, the total goes up $5. Since the total is $20 higher, there must be $20/$5 = 4 such replacements.

There are 4 $10 bills and 3 $5 bills.

how would you simplify -2+3i/-3-2i (im doing conjugates in math right now)

Answers

[tex] \cfrac{-2+3i}{-3-2i}= \\ \\ \\ \cfrac{(-2+3i)(-3+2i)}{(-3-2i)(-3+2i)}= \\ \\ \\ \cfrac{6-4i-9i+6i^2}{9-4i^2}= \\ \\ \\ \cfrac{6-13i-6}{9+4}= \\ \\ \\ \cfrac{-13i}{13}=-1i [/tex]

hope this helps

Final answer:

To simplify -2+3i/-3-2i, multiply both the numerator and denominator by the conjugate of the denominator (-3+2i).

Explanation:

To simplify -2+3i/-3-2i, we can multiply both the numerator and denominator by the conjugate of the denominator, which is -3+2i. This will help us eliminate the imaginary terms in the denominator.

Multiplying the numerator and denominator, we get:

(-2+3i)(-3+2i) / (-3-2i)(-3+2i)

Expanding and simplifying:

(6i+4i^2-9+6i) / (9+4)

Combining like terms:

(-9+12i+4i^2) / 13

Since i^2 is equal to -1, the expression becomes:

(-9+12i-4) / 13

Combining like terms:

(-13+12i) / 13

Therefore, the simplified form of -2+3i/-3-2i is (-13+12i) / 13.

Explain why rational number is either a terminating or repeating decimal?

Answers

A rational number is a real number such as 5 or .25. An irrational number is a non realistic number such as pi

a number is rational if it can be written in form a/b where a and b are integers and b≠0

a terminating decimal can be written as a/b like this
3.14=314/100

all repeating decimals can be written as a fraction. it just might take work to find which fraction
example: 0.33333333333333=1/3

The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potatoes. What constant should she use in the inequality?

Answers

Answer: The constant that Shana should use in the inequality is 11.

Step-by-step explanation: Given that the weight of a sack of potatoes was more than 11 pounds and she wants to write an inequality for the weight of the sack of potatoes.

We are to find the constant that she should use in the inequality.

Let x pounds represents the weight of the sack of potatoes.

Then, according to the given information, the inequality can be written as

[tex]x>11.[/tex]

Thus, the required constant that Shana should use in the inequality is 11.

If m C=66, find the values of x and y.
A) x = 24, y = 66

B) x = 90, y = 66

C) x = 90, y = 24

D) x = 66, y = 24

Answers

Since triangle ABC is a isosceles triangle
∠ABD = 66°
(Base angle of isosceles triangle)

∠BAC = 180° - (66° × 2) = 48°
y = 48° ÷ 2 = 24°
z = 90°

Answer is C.

Answer:

C) x=90°, y=24°

Step-by-step explanation:

The two sections into which A is split, are the same size as indicated. Sides AB and AC are the same length. Because of those reasons, it can be concluded that B and C are the same size.

The corners of a triangle adds up to 180°. For ΔABC:

[tex]A+B+C=180\\A+2(66)=180\\A=48[/tex]

y° is half of A:

∴y° = 24°

Now add up the corners of triangle ABD:

[tex]y+x+B=180\\24+x+66=180\\x=90[/tex]

∴x° = 90°

Two systems of equations are shown below. The first equation in System B is the original equation in system A. The second equation in System B is the sum of that equation and a multiple of the second equation in System A.

A. 1/2x + 3y = 11 → 1/2x + 3y = 11
5x − y = 17 → 15x − 3y = 51
15 1/2x = 62
B. 1/2x + 3y = 11
151/2x = 62
Answers
A=(3,4)
B=(3,5)
C=(4,3)
D=(5,3)

Answers

my answer is C 4,3 hope this helps

Answer: C (4,3)

Step-by-step explanation:

90% of students at a university use a backpack, while the rest do not. Of all the students, 50% carry their laptops with them and 5% carry neither a backpack nor laptop. What percentage of students carry their laptops and use a backpack?

Answers

90% of 100 = 90
50% of 90 = 45
5% of 45 = 2.25
The answer is 2.25

Final answer:

The percentage of students who carry their laptops and use a backpack is 45%.

Explanation:

To find the percentage of students who carry their laptops and use a backpack, we need to subtract the percentage of students who carry neither a backpack nor laptop from the percentage of students who carry their laptops.

Given that 5% carry neither a backpack nor laptop, we can subtract this from the 50% who carry their laptops to find that 45% of students carry their laptops and use a backpack.

20 pts
Score Number of Students 0 1 1 2 2 5 3 3 4 6 5 7 6 9 Based on the table, what is the mean baseball score?

Answers

The mean baseball score is 3.8571428571429.

The sum of these numbers is 54. 54 divided by 14 is 3.8571428571429.

Answer:

3.8

Step-by-step explanation:

the last one is correct but shorten it to 3.8 so it doesnt look like u used a calculator

Plz Someone Help Me.
I got to pass this piece of homework to school tomorrow.

Answers

what grade level is this i think i know the answer

Which line has an undefined slope? A y = 0 B y = 2 C x = y D x = 2

Answers

Line x =2 has undefined slope.

What is slope?

" Slope is defined as the ratio of the difference in the increase of y-coordinates to the difference in the increase of x-coordinates."

Formula used

Equation of the line

y = mx + c

c = y-intercept

m = slope

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

According to the question,

1. y = 0

Compare it with standard equation of the line

y = 0x + 0

slope = 0

It is not a correct answer.

2. y =2

Compare it with standard equation of the line

y = 0x + 2

slope = 0

It is not a correct answer.

3. x= y

Compare it with standard equation of the line

y = 1x + 0

slope = 1

It is not a correct answer.

4. x=2

It is vertical line , x value remain constant.

Therefore,

[tex]x_{1}=2\\x_{2}=2[/tex]

Slope = [tex]\frac{y_{2}-y_{1}}{2-2}[/tex]

= [tex]\frac{y_{2}-y_{1}}{0}[/tex]

Zero in the denominator therefore, undefined slope

Hence, line x =2 has undefined slope.

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Final answer:

The line with an undefined slope is D. x = 2, which is a vertical line with a constant x-value for all points on the line.

Explanation:

The question asks which line has an undefined slope. An undefined slope occurs when a line is vertical since slope is defined as the change in y over the change in x, and in a vertical line the change in x is zero. Looking at the options given, the equation representing a vertical line is D. x = 2. This line is vertical because it has the same x-value for all points on the line, meaning there is no change in x as you move along the line, thus creating an undefined slope.

Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$ is divided by 7?

Answers

[tex]\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}[/tex]

[tex]a^{81}\equiv1^{81}\equiv1\pmod7[/tex]

[tex]b^{91}\equiv2^{91}\pmod7[/tex]

[tex]2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7[/tex]
[tex]8\equiv1\pmod7[/tex]
[tex]2\equiv2\pmod7[/tex]
[tex]\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7[/tex]

[tex]c^{27}\equiv6^{27}\pmod7[/tex]

[tex]6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7[/tex]

[tex]\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7[/tex]

Answer:

5 (mod 7)

Step-by-step explanation:

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