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2 years ago

Use angle relationships to find the value of x.

Mathematics

2 answers:

Juli2301 [7.4K]2 years ago

7 0

Answer:

x=12.

Step-by-step explanation:

Let's get this straight out of the way, the 3 angles of a triangle ALWAYS add up to 180. Now that that's said, lets begin. Since the opposing side of an angle is the same as the regular side, we simplify to get: 5x+120=180. 180-120=60. so 5x=60. 60/5=12. so x=12.

lidiya [134]2 years ago

6 0

X= 12 hope this helppsssss

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What do you know to be true about the values of p and q?

gizmo_the_mogwai [7]

Answer:

p=q

Step-by-step explanation:

all angles together is 180. p=70 degrees and q = 70 degrees

5 0

1 year ago

Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a perc

bazaltina [42]

I'll do the first two problems to get you started. All problems shown will use the same formula.

===========================================

Problem 4

The formula to use is

C = 100*(B-A)/A

where

A = old value

B = new value

C = percent change

In this case, A = 12 and B = 36, so

C = 100*(B-A)/A

C = 100*(36-12)/12

C = 100*(24/12)

C = 100*2

C = 200%

We have a 200% increase. It is an increase because the value of C is positive.

===========================================

Problem 5

Use the same formula as in the previous problem. This time,

A = 75 is the old value

B = 25 is the new value

C = 100*(B-A)/A

C = 100*(25-75)/75

C = 100*(-50/75)

C = 100*(-2/3)

C = -66.6667%

C = -66.7%

The value of C is negative, so we have a percent decrease of roughly 66.7%

8 0

2 years ago

A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets

kari74 [83]

To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

162= (3^4)(2)

108= (2^2)(3^3)

180= (2^2)(3^2)(5)

We choose the common numbers with their lowest exponent:

M.C.D.= (2)(3^2)

M.C.D.= 2x9

M.C.D.= 18

The greatest number of baskets that can be made is: 18 baskets

To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

162/18= 9 apples

108/18= 6 oranges

180/18= 10 bananas

So, there are 9 apples, 6 oranges and 10 bananas in each basket.

3 0

2 years ago

Read 2 more answers

The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the am

lisabon 2012 [21]

Answer:

Option 4

The term that represents the amount of time that the money is accruing interest is 'x'.

Step-by-step explanation:

Given : The function below represents the annual interest Alexander earns on a savings account.

$f(x)=500(1+0.02)^x$

To find : Identify the term that represents the amount of time that the money is accruing interest ?

Solution :

The general annual interest formula is $A=P(1+r)^t$

Where, A is the amount

P is the principal

r is the interest rate

t is the time

The annual interest Alexander earns on a savings account is

$f(x)=500(1+0.02)^x$

Comparing with general formula,

t=x

The term that represents the amount of time that the money is accruing interest is 'x'.

Therefore, Option 4 is correct.

4 0

2 years ago

Read 2 more answers

Question 11 of 11 -

alex41 [277]

Answer:

AA similarity

Step-by-step explanation:

Your question is not well presented.

See attachment

Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

6 0

2 years ago