Answers
The measure of ∠JHG is 70 degree.
What is an Angle?An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
There are three types of angles, acute angle, right angle and obtuse angle.
Protractor is used to measure angles, it is of semicircular shape with degrees of angles engraved upon it.
Acute Angle : The angle whose measure is less than 90 degree is called the acute angle.
Right Angle : The angle whose measure is equal to 90 degree is called right angle.
Obtuse Angle: The angle whose measure is greater than 90 degree is called obtuse angle.
The ∠JHG has JH and HG are the arms of the angle.
The measure of ∠JHG = 70 degree, it is less than 90 degree, it is an acute angled triangle.
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Related Questions
What is the length of BC, rounded to the nearest tenth?
A. 13.0 units
B. 28.8 units
C. 31.2 units
D. 33.8 units
Answers
Answer:
Option C. [tex]BC=31.2\ units[/tex]
Step-by-step explanation:
step 1
In the right triangle ABD find the length side AB
Applying the Pythagoras Theorem
[tex]AB^{2}=5^{2}+12^{2}[/tex]
[tex]AB^{2}=169[/tex]
[tex]AB=13\ units[/tex]
step 2
In the right triangle ABD
we know that
[tex]m<ABD=m<BCD[/tex]
[tex]sin(<ABD)=\frac{5}{13}[/tex] -------> equation A
step 3
In the right triangle ABC
[tex]sin(<BCD)=\frac{13}{5+DC}[/tex] ------> equation B
Remember that
[tex]m<ABD=m<BCD[/tex]
so equate equation A and equation B solve for DC
[tex]\frac{5}{13}=\frac{13}{5+DC}[/tex]
[tex]5(5+DC)=13*13[/tex]
[tex]25+5DC=169[/tex]
[tex]5DC=169-25[/tex]
[tex]5DC=144[/tex]
[tex]DC=144/5=28.8\ units[/tex]
step 4
In the right triangle BDC find the length side BC
Applying the Pythagoras Theorem
[tex]BC^{2}=28.8^{2}+12^{2}[/tex]
[tex]BC^{2}=973.44[/tex]
[tex]BC=31.2\ units[/tex]
−3 1/3 ÷ 9..........help
Answers
-10/3 / 9 = -10/3 * 1/9 = -10/27
Algebra 2 Will give brainiest
Answers
Here, for h(f(2)), the first one to put in is the one in f, which is 2.
Since f(x) = 3*2^x, and since x here is equal to 2, (because h(f(2)), we can just put in the 2 in place of the x.
3 * 2 ^ 2
And then you get:
3 * 4
Or 12.
So now you have
h(12)
Now do the same thing.
2 * 12 - 7
24 - 7
17
An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?
Answers
1.What is the value of x?
2.What is the value of x?
Enter your answer as a decimal.
3.What is the value of x?
4.What is the value of x?
5.The area of a right triangle is 210 in². The height of the right triangle is 35 in.
What is the length of the hypotenuse of the right triangle?
Enter your answer in the box.
Answers
Let p = distance from V to Y
By the angle bisector theorem, we can form the proportion
VT/VY = TK/KY
57/p = 129.2/68
57*68 = p*129.2
3876 = 129.2p
3876/129.2 = 129.2p/129.2
30 = p
p = 30
Use the value of p to find x
x = VY+YK
x = p+68
x = 30+68
x = 98
Answer: 98 mm
===========================================
Problem 2)
The triangles are similar, so we can form a proportion of the corresponding sides
MN/MA = MP/MB
67.2/(67.2-32) = 81.9/x
67.2/35.2 = 81.9/x
67.2*x = 35.2*81.9
67.2*x = 2882.88
67.2*x/67.2 = 2882.88/67.2
x = 42.9
Answer: 42.9 meters
===========================================
Problem 3)
Similar to problem 1, we use the same theorem
EG/GD = EH/HD
44.8/(x+4) = 56/35
44.8*35 = 56(x+4)
1568 = 56x+224
1568-224 = 56x+224-224
1344 = 56x
56x = 1344
56x/56 = 1344/56
x = 24
Answer: 24 millimeters
===========================================
Problem 4)
We'll use a similar idea used in problem 2
9/(9+72) = (3x-20)/((3x-20)+56)
9/81 = (3x-20)/(3x+36)
1/9 = (3x-20)/(3x+36)
1*(3x+36) = 9(3x-20)
3x+36 = 27x-180
3x+36+180 = 27x-180+180
3x+216 = 27x
3x+216-3x = 27x-3x
216 = 24x
24x = 216
24x/24 = 216/24
x = 9
Answer: 9 centimeters
===========================================
Problem 5)
Area of triangle
A = 0.5*b*h
Plug in A = 210 and h = 35; solve for b
A = 0.5*b*h
210 = 0.5*b*35
210 = 0.5*35*b
210 = 17.5*b
12 = b
b = 12
Now use the base and height to find the hypotenuse
a^2 + b^2 = c^2
h^2 + b^2 = c^2
35^2 + 12^2 = c^2
1369 = c^2
c^2 = 1369
sqrt(c^2) = sqrt(1369)
c = 37
Answer: 37 inches
The base of the triangle is calculated to be 12 inches using the area and height. Then, through the Pythagorean theorem, the hypotenuse is found to be approximately 36.06 inches.
Explanation:The subject of the question is related to the calculation of a triangle's hypotenuse using the area and height of a right triangle. Given that the area of a triangle is calculated by halving the product of the base and the height (Area = 1/2 * base * height), we can use the given area to find the base of the right triangle.
First, we call the base of the triangle 'x'. The area is 210 square inches and the height is 35 inches.
We rearrange the formula for the area of a triangle to find 'x' as follows: base = (2*Area) / height.
Our calculation then becomes x = (2*210) / 35. This simplifies to x = 12 inches.
Next, we use the Pythagorean Theorem, that states: a² + b² = c², where 'c' represents the hypotenuse. Here, 'a' is the base found (12 inches), 'b' is the height (35 inches), and 'c' is the hypotenuse we're seeking.
Plugging the values into the theorem, we get c = √(12² + 35²). Hence, the hypotenuse of the right triangle is approximately 36.06 inches.
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Solve for x 3(2x-1)=9
Answers
6x -3= 9 add 3
6x= 12 divide by 6
x= 2
enter the coordinates of the point (−5, 1) after a 180° rotation about the origin. ( , )
Answers
(5,-1) because it would turn the points to their opposite "charge" and turn the positive to a negative and a negative to a positive
Determine which package of laundry soap is the better buy: 65 ounces for 6.99 of 120 ounces of 12.99
Answers
6.99/65 = 0.107
120 oz for 12.99..
12.99 / 120 = 0.108
well...if u rounded them, they would cost the same.....but actually, 65 oz is about 1/1000 cheaper....I would probably say they cost about the same because I dont think that 1/1000 difference is gonna make that much of a difference
Luis starts at one corner of a square field and walks 80 feet along one side to another corner of the field. He turns 90° and walks 60 feet, and then walks straight back to where he started.
What is the area of the part of the field he walked around?
A.
140 ft²
B.
280 ft²
C.
320 ft²
D.
2400 ft²
Answers
1/2 x 80 x 60 = 2400 square feet was the area
A math class containing 57 students was divided into two sections one section has three more students than the other how many students were in each section
Answers
3+x+x=57
3+2x=57
2x=57-3
2x=54
x=54/2
x=27
so the first section has 27 students and the second section has 30 students
A package of organic strawberries costs $1.50 while they are in season and $2.25 when they aren’t in season what is the percent increase?
Answers
The way I look at it is,
$1.50 multiplied by 1.5 equals $2.25.
I checked this by doing the following,
$1.50 divided by 2 equals $0.75, $0.75 multiplied by 3 is $2.25, I also did,
$2.25 minus $1.50 equals $0.75
Answer:50 percent
Step-by-step explanation:You need to subtract 2.25 and 1.50 and get 0.75 then divide it to 1.5 and 0.5 then convert it into decimal form and its 50%.
Please help!! Evaluate the piece wise function at x=-4 and x=4.
Answers
x = -4, so use the first equation, x^2 = -4^2 = -16
x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2
If you flip a coin three times what is the probability of getting three tails in a row
Answers
Write an equation of the line that has a slope of 3 and contains the point (2,5) in point-slope form.
Answers
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is the point the line goes through
The slope is 3, so let's replace m with 3
y - y1 = m(x-x1)
y - y1 = 3(x-x1)
The given point is (2,5) so let's replace x1 with 2 and y1 with 5
y - y1 = 3(x-x1)
y - y1 = 3(x-2)
y - 5 = 3(x-2)
Answer: y-5 = 3(x-2)
35.7 divided by 11.4
Answers
Error analysis a studinet write the word phrase the quotient of n and 5" to describe the expression 5/n describe and correct the students error
Answers
Final answer:
The student made an error in describing the expression 5/n as "the quotient of n and 5." The correct phrase to describe this expression would be "the quotient of 5 and n."
Explanation:
The student made an error in describing the expression 5/n as "the quotient of n and 5." The correct phrase to describe this expression would be "the quotient of 5 and n."
When describing division, it is important to remember that the dividend (the number being divided) comes before the divisor (the number dividing the dividend).
I need help with #7 please help
Answers
Since the expression 5x + 350 is the earnings per month, this means E = 5x + 350.
We want the earnings (E) to be "at least 950", which means we want E to be equal to 950 or larger. So we can say
E >= 950
The symbol ">=" without quotes means "greater than or equal to"
Replace the "E" with "5x+350" and solve for x
E >= 950
5x+350 >= 950
5x+350-350 >= 950-350
5x >= 600
5x/5 >= 600/5
x >= 120
So you are close, but the answer is choice C. This means she must sell 120 items or more.
Evaluate 3x+y3x+y when x=13x=13 and y=−74y=−74. write your answer as a fractionin simplest form.
Answers
Plug in 13 for x, and -74 for y :)
3(13) + (-74)
39 - 74
Simplify.
-35
~Hope I helped!~
If twenty-four is subtracted from a number, the result is the same as the number divided by nine. What is the number?
Answers
multiply through by 9:-
9x - 216 = x
8x = 216
x = 27 answer
The required number is 27.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Let x be the number,
Then
Twenty-four is subtracted from a number = x - 24
and number divided by nine = x/9
Now according to the question,
x - 24 = x/9
Multiplying whole equation by 9 we get,
9x - 216 = x
Adding 216 both the sides we get
9x = x + 216
Substracting x both the side we get
8x = 216
Dividing whole equation by 8 we get
x = 27
which is the required number.
Hence,the required Number is 27.
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Help Needed xD
What is the value of X?
Remember to show calculations and formulas used for credit.
Question 1 options:
Save
Question 2 (3 points)
What is the measure of one of the exterior angles of a regular octagon?
Make sure to show your calculation and formulas used for credit.
Question 2 options:
Answers
The shape is an irregular hexagon
The sum of interior angles of a hexagon is given by (number of sides - 2) × 180°
A hexagon has 6 sides, hence number of side is = 6
Sum of interior angle = (6 - 2) × 180 = 4 × 180 = 720°
The size of angle x° = 720 - (112 + 120 + 100 + 128 + 133)
The size of angle x° = 720 - 593
The size of angle x° = 127°
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Question 2
The sum of exterior angles of any polygon is 360°
If the polygon is a regular polygon, the length of its sides will all be equal and the size of the exterior angles will also be equal.
Octagon has eight sides
A regular octagon has eight equal exterior angles
The size of one exterior angle in a regular octagon is 360 ÷ 8 = 45°
Is the square root of 7 an irrational number
Answers
The square root of 7 is an irrational number because it cannot be expressed as a ratio of two integers and its decimal form is infinite and non-repeating.
The square root of 7 is indeed an irrational number. An irrational number is one that cannot be expressed as the ratio of two integers, or as a predictable or repeating decimal. Unlike the square roots of perfect squares like 4 or 25, which are 2 and 5 respectively, the square root of 7 does not result in a whole number or a rational fraction. Additionally, this number cannot be exactly represented by a finite or repeating decimal sequence, which means it continues infinitely without repetition.
When we use a calculator to determine the square root of 7, we might see a value such as 2.646, but this is only an approximation because the actual decimal expansion goes on infinitely without repeating. Furthermore, the square root of a number like 7 does not solve a polynomial with rational coefficients, which further proves its irrationality.
Rational numbers, on the other hand, include integers and fractions where the numerator and the denominator are both integers. Numbers like 2/3 are rational because they have a clear ratio. However, roots of numbers that are not perfect squares, such as √7, cannot be expressed in such a ratio and are therefore irrational.
is dilated by a scale factor of 3 to form . Point O is the center of dilation, and point O lies on . If the slope of is 3, what can be said about line ?
a.The slope of is 6, but does not pass through O.
b.The slope of is 9, and passes through O.
c.The slope of is 9, but does not pass through O.
d.The slope of is 3, and passes through O.
e.The slope of is 3, but does not pass through O.
Answers
If Maria earned $60 in interest over a 4-year period at a 4% simple annual interest rate, how much did she originally deposit in savings?
A.
$160
B.
$320
C.
$375
D.
$800
Answers
This may not be right but its what i think the answer is.
Good Luck!
Answer:
the answer is c} 375
The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.
Answers
log(35) = 1.544
rounded to nearest tenth = 1.5
Answer: The magnitude of the earthquake that is 35 times more intense than a standard earthquake=1.5
Step-by-step explanation:
Given : The magnitude M of an earthquake is defined to be [tex]M=\log \frac{I}{S}[/tex]---(1)
, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and
S is the intensity of a “standard” earthquake, which is barely detectable.
If the magnitude of an earthquake that is 35 times more intense than a standard earthquake
⇒Intensity of earthquake I=35 S
Substitute the value of I in (1), we get [tex]M=\log(\frac{35S}{S})=\log(35)=\log(5\times7)=1.544068[/tex] [tex]\approx1.5[/tex]
∴ The magnitude of the earthquake that is 35 times more intense than a standard earthquake=1.5
Michael made 4 dozen chocolate chip cookies he is bringing 75% of them to school for a party how many cookies does he bring to chool
Answers
Michael made 48 cookies and is bringing 75% of them to a school party. To calculate this, multiply 48 (the total number of cookies) by 0.75, resulting in 36 cookies that he will bring to school.
Explanation:Michael made 4 dozen chocolate chip cookies. He wants to bring 75% of them to school for a party. To find out how many cookies he will bring, we need to calculate 75% of 4 dozen cookies. Since each dozen is 12 cookies, 4 dozen would be 4 times 12, which equals to 48 cookies.
To find 75% of 48, you can either multiply 48 by 0.75 or calculate 75/100 of 48:
48 × 0.75 = 36 (75/100) × 48 = 36
Therefore, Michael will bring 36 cookies to the school for the party.
Michael brings 36 cookies to school for the party.
Explanation:To find out how many cookies Michael brings to school, we need to calculate 75% of the total number of cookies he made.
Michael made 4 dozen cookies, and a dozen is equal to 12, so he made a total of 4 x 12 = 48 cookies.
75% of 48 is calculated by multiplying 48 by 0.75. 48 x 0.75 = 36.
Therefore, Michael brings 36 cookies to school for the party.
Which choice (s) when rounded to the nearest hundred thousand will result in 600,000?
Answers
So in this example it would be 100,000 because 4 wouldn't make the 1 turn to 2.
Hope that helps. :3
if f (x) =15x-7 then f^-1(x)=
Answers
So, we need to find the inverse of the function f(x) = 15x - 7.
To start, we must turn the f(x) into a y.
y = 15x - 7.
Now, we swap all the x variables for the y variables, and swap all the y variables for the x variables!
x = 15y - 7.
Now, we simply must work on isolating y. Assuming you know how to isolate a variable, we must do the steps below -
x = 15y - 7.
Add 7 on both sides.
x + 7 = 15y - 7 + 7.
We cannot add x and 7, as they are not like terms. So, they will remain like that, while the 7 on the right side of the equation is eliminated.
x + 7 = 15y.
Now we are going to divide both sides by 15, thus leaving y by itself.
[tex] \frac{x + 7}{15} [/tex] = 15y / 15.
Since we cannot divide the left side of the equation by 15, it will remain as such. With the y variable completely isolated, our final inverse function will be:
[tex] f^{1}(x)[/tex] = [tex] \frac{x + 7}{15} [/tex].
Hopefully, this helps! =)
For the function f (x) = 15x - 7, the value of f ⁻¹ (x) is,
⇒ f ⁻¹ (x) = (x + 7) / 15
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 15x - 7
Now, We can find the inverse of f (x) as;
⇒ f (x) = 15x - 7
Substitute y = f (x),
⇒ y = 15x - 7
Solve for x;
⇒ y + 7 = 15x
⇒ x = (y + 7) / 15
Hence, We get;
⇒ f ⁻¹ (x) = (x + 7) / 15
Thus, The inverse function is,
⇒ f ⁻¹ (x) = (x + 7) / 15
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Daphne paid $68a month for 2 years for internet service. How much did she pay in total?
Answers
2 years = 24 months
68(24)= 1632
Daphne paid $1,632 in all.
Find each product by factoring the tens.
6 x 2, 6 x 20, 6 x 200
_________________
_________________
P.S those lines are for the answer
Answers
12 x 10 = 120
12 X 100 = 1200
Take for instance in 6 x 2, 6 x 20 and 6 x 200. Find the factors and these are the computations. We can also say:
6 x 20 = 6 x 2 x 10 = 12 x 10 = 120
60 x 20 = 6 x 10 x 2 x 10 = 12 x 10 x 10 = 1200
It must be remembered that in the commutative and associative properties of multiplication, the order of the factors does not matter when solving this kind of problem
Can someone solve this?
Answers
greg score = x
kara score = 3/4x-1
x + 3/4x-1 = 153
1 3/4x -1 = 153
1 3/4x = 154
x = 154 / 1 3/4 = 88
gregs score was 88
kara s score was 153 -88 = 65