Unit 4: Congruent Triangles Homework 2: Angles of Triangles

Answers

Answer 1

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

How to solve the triangle?

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

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Related Questions

What is the constant term in the expression 8xy + 9x2 y − 5x − 2?

−5
−2
8
9

Answers

Answer:

-2

Step-by-step explanation:

In the expression  [tex]8xy + 9x^2y -5x -2[/tex]

[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant term

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

THIS IS MY LAST QUESTION PLEASE HELP ME
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
Zion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50
and the variable cost per chair is $52.17.
O $57.03
O $64.50
O $81.25
O $79.65

Answers

Answer:

81.25

Step-by-step explanation:

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.

Answers

The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate (in some cases) it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, we're specified that:

Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex]  = 92Population standard deviation = [tex]\sigma[/tex] = 2

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]

Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

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I need help on this question

Answers

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

6.005= as what percent

Answers

Linguistically, percent can be broken down to:
Per cent

A cent is seen as $0.01, where the one is in the hundredths place.

So, we can multiply this number, 6.005, with 100. Move two decimal places to right, which makes 600.5%!

If you would like to turn a percent into a decimal, divide the percent by 100, or simply put the decimal point to back the left two times!

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.

A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement

Answers

Answer: should be B

Step-by-step explanation:

an architect is designibg a tapered office tower where rge ground floor us the largwst amd the floor space is reduced by 6.3% permifloor if the ground gloor has an arra pf 11,400,0ft2 ehat is tje area of the floor to the nearest tenth of a ft2?

Answers

The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.

What is the area of the ground floor?

In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.

Area that was reduced = 6.3% x 11,400,000 = 718,200

New area = 11,400,000 - 718,200 = 10,681,800 square foot

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You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?

Answers

Answer:

11.7

Step-by-step explanation:

I think that is right because you have to - 35%

Mrs. Barnett has 5 cups of sugar. A batch of cookies uses 1/3 cup of sugar.

How many batches of cookies can she make?

Answers

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

A store is open for business while it is being renovated. The noise from the renovation is increasingly driving

away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the

function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?

A

1. 9539

B

10,000

с

0. 0461

D

0. 9539

Answers

The factor of decay in the function that represents the daily revenue of the store is 0.939.

What is the factor that represents decay?

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

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The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.

Answers

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

Find f(2) if f(x)=2x+1

Answers

[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Cover the entire area except for today's date and year April, 1st, Monday

Answers

Answer:

It's friday for me so here u go

Step-by-step explanation:

Write x=2 in Slope intercept form

Answers

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

Which statement is true about the transformation?

It is isometric because not all side lengths and angle measures remained the same.
It is isometric because all side lengths and angle measures remained the same.
It is not isometric because not all side lengths and angle measures remained the same.
It is not isometric because all side lengths and angle measures remained the same.

Answers

Answer:

B. It is isometric because all side lengths and angle measures remained the same

Step-by-step explanation:

Answer:

B) It is isometric because all side lengths and angle measures remained the same.

Step-by-step explanation:

Got it right on edge <3

Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units

Answers

Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For this case, the missing image is attached below.

Applying the sine law, as we have:

The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZ

The first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).

Using sine law, we get:

[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]

Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

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Help me pls

-3^3(-8n^3-3n^2)

Answers

-3^3(8n^3 - 3n^2)
-3^3 x 8n^3 - (-3^3 x 3n^2)
-27 x 8n^3 - (-27 x 3n^2)
-216n^3 - (-81n^2)
-216n^3 + 81n^2

please just answer don’t explain

Answers

Answer:

13 C 14 D 15 A 16 B

Step-by-step explanation:

Sorry thats all i know hope you found this helpful

Answer quick and show work!

Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?

Answers

Answer:

$120

Step-by-step explanation:

the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?

Answers

Answer:-6°

Step-by-step explanation:

-3° the first hour -6° the next

The answer would be -6 degrees .

PLS HELPpppppppppppp ;0

Answers

Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

please help
what is the equation for the following graph

A=1

Answers

Answer:

[tex]f(x)=\sqrt{x+5}-3[/tex]

Step-by-step explanation:

Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]

Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]

[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin

Therefore, this graph has been translated 5 units to the left and 3 units down.

Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]

[tex]\implies f(x)=\sqrt{x+5}-3[/tex]

Adjacent --------------------- Vertical




DBC and ABC

ABC and DBE

CBD and EBA

EBA and ABC





put them where they're supposed to go

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

DBC and ABC - Adjacent

ABC and DBE - Vertical

CBD and EBA - Vertical

EBA and ABC - Adjacent

which experssion is equivalent to 5(4x+3)-2x

Answers

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest​

Answers

Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)

Please help me, I have no Idea how to solve this.

Answers

Answer:

19 ducks are NOT WINNERS
There is a 76% CHANCE that you will not choose a winning duck, so it is VERY LIKELY that you will choose a duck that is not a winner.

Step-by-step explanation:

Answer: 1.) 19 rubber ducks are not winners

2.) There is a 76% chance of not choosing a winning duck

1.) Step-by-step explanation: 25 times 0.24 equals 6, 25-6=19

2.) 0.24 is equal to 24% and 100-24= 76 so 76% chance of not choosing a rubber duck

Solve the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:

x = 0.6x + 384

How many people downloaded songs from the site that month?

Answers

Answer:

960 people.

Step-by-step explanation:

x = 0.6x + 384

x - 0.6x = 384

0.4x = 384

x = 384 / 0.4 = 960.

separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √

Answers

The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Real and Imaginary Numbers/Complex Numbers

Given Data

First expression = √2+iSecond expression = √2-i

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

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Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.

Answers

The expected count that can be deduced from the arrivals to the second compartment will be 200.

How to calculate the expected count?

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)

Answers

Answer:

x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

to find the zeros equate p(x) to zero , then

(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic

(x + 2)(x + 3)(2x - 3) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

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