Using isosceles triangle theorems solve for x and y

Answers

Answer 1

Well lets start by getting y. We already know that all angles of a triangle will equal 180 degrees.
Therefore we know that 65 + 65 + y = 180. To solve for y we just add the two 65's then subtract that from 180
y = 180-130 = 50 Therefore y = 50

Now lets solve for x. We know that since angle B is flat it is equal to 180. The unknown value of angle B = 180 - 65
Therefore that unknown value = 115

As we previously stated all angles of a triangle equal 180. We can now come up with this equation: 115 + x + x = 180
2x = 65
x = 32.5

Hope this helps! If you have anymore questions just ask!

Answer 2

Final answer:

To solve for x and y in a right triangle, use the Pythagorean Theorem (x² + y² = h²) and trigonometric relationships (x = hcosΘ and y = hsinΘ). The Isosceles Triangle Theorem, which states the base angles of an isosceles triangle are equal, isn't directly used to solve for x and y.

Explanation:

In solving for x and y using isosceles triangle theorems, we often utilize the Pythagorean Theorem and trigonometric relationships. Since this involves a right triangle, where x is the adjacent side, y is the opposite side, and h is the hypotenuse, we can use the formula for the Pythagorean Theorem, x² + y² = h².

To find x, we rearrange the trigonometric definition of cosine (cosΘ= x/h) to get x = hcosΘ. Similarly, we can find y using the definition of sine (sinΘ = y/h) and get y = hsinΘ. These solutions use trigonometry.

Keep in mind, the Isosceles Triangle Theorem states that the base angles of an isosceles triangle (a triangle with at least two equal sides) are equal. However, this theorem isn't directly involved in solving for x and y. Instead, the trigonometric relationships and Pythagorean Theorem solves for these values within a right triangle.

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Related Questions

use the model to solve for x

Answers

3x+1 = 2x-5

3x = 2x-6

x = -6

again I think I am right but I just want to check myself

Answers

Yes that is correct the first bubble is what you should pick

What is the best estimate for the product of 289 and 7

Answers

product means multiply
Estimate means you have to round to the nearest 10, 100, ect...
300*10= 3000
The exact value though is 2023

289 -> 290

7 -> 10

290 x 10

= 2900

How many 1/4 ft pieces can you cut from a string that is 15 feet long

Answers

there is 4 pieces in a ft and 4 × 15 is 60
so the answer is 60 pieces

Final answer:

You can cut 60 pieces of 1/4 foot each from a string that is 15 feet long by carrying out the operation 15 ÷ 1/4, which turns into multiplication by the reciprocal of the fraction, 15 x 4 equals 60.

Explanation:

The question is asking how many 1/4 ft pieces you can cut from a 15 feet long string. In other words, you want to divide the total length of the string by the length of each piece you're cutting out. So you will carry out a division operation: 15 ÷ 1/4. When dividing by a fraction, you actually multiply by its reciprocal. The reciprocal of 1/4 is 4, so 15 ÷ 1/4 becomes 15 × 4, which equals 60. Therefore, you can cut 60 pieces of 1/4 foot each from a string that's 15 feet long.

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A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry $30,000 60% Expert $40,000 38% CEO $125,000 2%

Answers

The given table is the following:

Job Salary % of Employees
-------- ------------ ----------------------
Entry $30,000 60%
Expert $40,000 38%
CEO $125,000 2%

Let n = total number of employees.

Entry:
Number = 0.6n
Pay total = 0.6n*(30,000) = $18,000n

Expert:
Number = 0.38n
Pay total = 0.38n*(40,000) = $15,200n

CEO:
Number = 0.02n
Pay total = 0.02n*(125,000) = $2,500n

Total pay = 18,000n + 15,200n + 2,500n = $35,700n
Average salary = 35,700/n = $35,700

Answer: $35,700

Mr. and Mrs. Delgado each own an equal number of shares of a stock.Mr. Delgado sells one-third of his shares for $2700. What was the value of Mr. and Mrs.Gelgados stock before the sale?

Answers

3x2700=Just Mr. Delgado's shares' value= $8100

Since they own an equal number of shares, their total value of stock before the sale is two times what each of them has separately.

$8100 x 2=value of their stock= $16200

The distance between bases on a baseball diamond (a perfect square) is 90 feet and the pitchers mound is one-half the distance between home and second base. If Burt Hooton throws a slider at 87 mi/hr, how many seconds will it take for the ball to reach the plate?

Answer in units of s.

Please help me! Thank you!

Answers

First you have to use right triangles to find out how far away from the plate, then just use multiplication to find the final answer.

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B. How fast did Car A travel? (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer in the box.

Answers

Let the distance be D miles
Car A:- D = 2.4R and for Car B:- D = 4(R- 22)

therefore 2.4R = 4(R-22)

4R - 88 = 2.4R
1.6R = 88
R = 55mph Answer

Rate of speed is rate of change of distance with respect to time, If Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h.

Car A traveled 22 mph faster than Car B. 55mph fast car A travel.

What is Rate of speed?

Rate of speed is rate of change of distance with respect to time.

Let the distance be D miles

Car A:- D = 2.4R and

for Car B:- D = 4(R- 22)

therefore 2.4R = 4(R-22)

4R - 88 = 2.4R

4R-2.4R=88

1.6R = 88

R = 55mph Answer

Therefore car A travels 55mph faster than car B.

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The unit rate for $18 for 24 pounds

Answers

$0.75 a pound. This can be written as 3/4, as well.

Final answer:

To find the unit rate of $18 for 24 pounds, you divide the total cost by the number of pounds, resulting in a unit rate of $0.75 per pound.

Explanation:

The student is asking how to calculate the unit rate of a product that costs $18 for 24 pounds. To find the unit rate, you divide the total cost by the total number of units (in this case, pounds). So, the calculation for the unit rate in this question would be:

$18 ÷ 24 pounds = $0.75 per pound

Thus, the unit rate is $0.75 per pound. This means for every pound of the product, you pay $0.75.

I need a quick good conclusion thank you

Answers

You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data

Which reason justifies the statement that KLC is complementary to KJC?

Answers

All angles in a rectangle are right angles
hope it helps

Answer:

Angles that are congruent are complementary to the same angle

Step-by-step explanation:

see that attached figure to better understand the problem

we know that

Two angles are complementary if their sum is equal to [tex]90\°[/tex]

[tex]m<KJM=m<KLM=90\°[/tex]

[tex]m<KJC=m<MLC[/tex] -----> equation A

[tex]m<KJM=m<KJC+m<CJM[/tex]

[tex]m<KJC+m<CJM=90\°[/tex] -----> equation B

[tex]m<KLM=m<KLC+m<MLC[/tex]

[tex]m<KLC+m<MLC=90\°[/tex] -----> equation C

Substitute equation A in equation C

[tex]m<KLC+[m<KJC]=90\°[/tex]

That means------> angles ∠KLC and ∠KJC------> are complementary angles

therefore

Angles that are congruent are complementary to the same angle

what's 867,000→ to the nearest ten

Answers

867000 to the nearest ten is 867000 is your answer

hope this helps

Write in the form y=mx+b, the equation of the line that has:

A) a slope of 6 and passes through (1,5)

B) a slope of 5/6 and passes through (-12, 3)

Answers

5= 6+b
-1=b
Y=6x-1
3=-10+b
13=b
Y=5/6x+13

PLEASE HELP WITH MY MATH!

What is the value of the expression? −2^6 − (6)^2

Enter your answer in the box.

Answers

(-2)^6 - 6^2
= 64 - 36
= 28

-2^6-(6)^2= -100. Hope this helps have a great day. :)

Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? $64.00 $88.00 $155.00 $620.00.Please help I am on a time limit!!!!

Answers

You want to multiply 87.60 and 25.60 by 10. 87.60x10=876. 25.60x10=256.876-256=620. Then you will take 1/4 of 620 to get the answer 155 is what she paid for lessons.

Answer:

$155.00

Step-by-step explanation:

Jinni deposited $87.60 every month for 10 months, this represents a total of

[tex]\$87.60(10)=\$876[/tex]

But, she used $25.60 every month to pay for music classes, the total money spent is

[tex]\$25.60(10)=\$256[/tex]

So, she has in her bank account

[tex]\$876 - \$256 = \$620[/tex]

Then, she uses 1/4 of the total money left ($620) to go to a summer camp, which is

[tex]\frac{1}{4}(\$620)=\$155[/tex]

Therefore, she spent $155 to go to the summer camp. So, the right answer is the third option.

Jim makes the following conjecture: other than 1, there are no numbers less than 100 that are perfect squares and perfect cubes. what is a counterexample that proves his conjecture false?

Answers

The number 64 is a counterexample to Jim's conjecture because it is the square of 8 and the cube of 4. A fast way to solve this problem is to list out the perfect cubes that are less than 100 and check if any of them are also perfect squares. A perfect square is a number which can be written as another number multiplied by itself, and a perfect cube is one which can be written as a number multiplied by itself twice. The perfect cubes less than 100 are as follows: 1*1*1 = 1 2*2*2 = 8 3*3*3 = 27 4*4*4 = 64 Now we can calculate perfect squares until we find one in this list 1*1 = 1 2*2 = 4 3*3 = 9 4*4 = 16 5*5 = 25 6*6 = 36 7*7 = 49 8*8 = 64 We see that 64 is in the list of perfect squares and perfect cubes, so this is a counterexample to Jim's conjecture.

Explain how using basic fact can help find 10x20x30x40 mentally

Answers

2x3x4 = 24
Add the 4 zeros to the end
240,000

well just take the 0 and start with 1 × 2 = 2×3=6×4=240000 than add the 0 that u took out

draw a rectangle on the grid below with an area of 1575 square units and a side of 45 units

Answers

1575/45 = 35
35 x 45 =1575

help me with question 2 plss

Answers

i cannot do this because it wont let me look at the attachment i am sorry

[tex]\frac{p^{3 \cdot 4}}{q^4} \times \frac{9q^{4\cdot2}}{p^{3\cdot2}} = \frac{p^{12}}{q^4} \times \frac{9q^{8}}{p^{6}} = {p^{12-6}} \times 9q^{8-4}}} = 9p^6q^4[/tex]

Some students reported how many textbooks they have. The dot plot shows the data collected: A dot plot is titled Students Textbooks and labeled Number of Textbooks. The values on the horizontal line are 2, 3, 4, 5, and 6. There is 1 dot above 2, 2 dots above 3, 4 dots above 4, 5 dots above 5, and 4 dots above 6. What do the dots above the number 6 indicate? There are exactly 6 students with 4 textbooks. There are exactly 4 students with 6 textbooks. There are exactly 6 students with less than 4 textbooks. There are exactly 4 students with less than 6 textbooks.

Answers

There are 6 students with 4 textbooks. The horizontal line represents the number of of students and the vertical line represents the amount of textbooks

Answer:

Step-by-step explanation:

how much money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest?

Answers

500*5*0.04=100
Let me know if I wrong

The $2500 money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that:

simple interest account to earn $500 in interest in 5 years at 4% annual interest

As we know the simple interest formula is:

I = Prt

Here

I = $500

t = 5 years

r = 4% = 0.04

500 = P(0.04)(5)

P = 500/0.2

The money that must be deposited in a simple interest account to earn $500 is:

P = $2500

Thus, the $2500 money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest.

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Write a story that could describe the expression:

75x - 20

Answers

If John wants to buy 75 packs of gum but doesn't know how much pieces of gum are in each pack as well as that he has to give 20 pieces to his friend Dan, how many pieces of gum does he have left?

Since he adds x pieces of gum for each pack, his total gum is 75x. Next, since he gives 20 pieces to his friend, we have to subtract 20 from that

If I make 75 dollars in a day and then use 20 dollars for gas then how much money will I have left over

0.9c+0.5c=7 answer for c

Answers

0.9c+0.5c=1.4c
1.4c=7
c=7/1.4
c=5

C=5.
you’re going to add 0.9+0.5c
1.4c is going to be your answer so then you’re going to equal 1.4c=7.
then you divide 1.4 on both sides.
1.4c divided by 7 is 5.

bananas are $0.59/pound, how much will 25 bananas cost?

Answers

The answer would be $14.75. You would have to do .59 times 25 bananas and you would would get $14.75.

25 lbs at 0.59 per lb = 25 * 0.59 = $ 14.75 <==

Venus is about 10^8 kilometers from the Sun. Saturn is about 10^9 kilometers from the Sun. About how many times farther from the Sun is Saturn than Venus?

Answers

Alright, since we need to figure out how many times the distance from Venus is compared to the distance from Saturn, we use division and put the distance from Saturn at the top, getting 10^9/10^8. While dividing exponents, you can simply subtract them, so 9-8=1 and we end up with 10^1=10

Is 16.45 greater, less than or equal to 16.454

Answers

16.45 is less than 16.454

16.45 is less than 16.454 because 16.454 had 0.004 more than 16.45

what is the product? (3a^2b^7)(5a^3b^8)

Answers

15a^5 b^15 Is The Answer

Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power?

A)11 to the 7th power over 11 to the 7th power
B)11 ⋅ 114
11 to the 0 power over 11 to the 5th power
110

Answers

none of the above. 11^8/11^3 is 11^5 since you will just subtract exponents. The numerical value is 161051
although you should have an option that either is 11^5 or equals 11^5 like 11^15/11^10 for example
the third answer is almost correct, but it would have to be 11^5/11^0

Answer:

[tex]11 .11^4[/tex]

Step-by-step explanation:

Given phrase,

11 to the 8th power over 11 to the 3rd power

[tex]\implies \frac{11^8}{11^3}[/tex]

[tex]=11^{8-3}[/tex] [tex](\because \frac{a^m}{a^n}=a^{m-n})[/tex]

[tex]=11^5[/tex]

Since,

[tex]11.11^4[/tex]

[tex]=11^{1+4}[/tex]

[tex]=11^5[/tex]

Hence, the equivalent expression to 11 to the 8th power over 11 to the 3rd power is,

[tex]11.11^4[/tex]

Answer choices:

A and T
WCR and TRA
<-----> WC <----> CR
<-----> WC <----> WT

Answers

A and T are points. On their own, they cannot define a line. So we can rule out choice A

WCR and TRA are angles. For any triple the points do not fall on the same straight line. So we cannot define any lines here. This crosses off choice B

Choice C is the answer because WC does define a line. We only need two points to form a line. Similarly CR does the same job. We draw a line marker with two arrows at each end to be placed over the letters to indicate "line".

Choice D is similar to choice D; however, it is not the answer because WT is the same line as WC. In other words, WC = WT. We haven't named a new line at all. We're simply repeating ourselves.

Decrease £248 by 30%

Answers

Thank you for your question!

248 * 0.30 = 74.4
248 - 74.4 = 173.6

Hope this helps!

Okay this equation really says is what is 30% of 248.

So, lets convert 30% to a fraction, 3/10 which is easier to work with.

All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4

So subtract 74.4 and get

173.6

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