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anastassius [24]
1 year ago
14

Using the imagine below, find the measure of angle y.

Mathematics
1 answer:
koban [17]1 year ago
7 0

y+ (5x-10)= 180 º

Due to the lines are parallels

\alpha=\beta

So then

(5x-10)= (x+86)

5x - x = 86 + 10

4x = 96

x = 24

__________________

Checking

(5x-10= 5*24-10= 110º

(x+86) = 24+ 86= 110º

__________________________

y+ (5x-10)= 180 º

y+ 110º = 180 º

y= 180-110º

y= 70º

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If the length of segment AC equals 58, what is the length of the midsegment DE
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Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

\therefore DE= \frac{1}{2} AC

DE= \frac{58}{2} =29

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3 years ago
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Please answer math question
slavikrds [6]

Answer:

y = -4x + 9

O.R. y = 9- 4x

(both answers are equivalent, the same)

Step-by-step explanation:

1. finding gradient of perpendicular line to the equation given.

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3. get answers by finding the y-intercept of the equation wanted.

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5 0
3 years ago
Some registered nurses earn $141.75 for working 4.5 hours. What is the hourly rate?
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Eliott was trying to factor 6x^2-18 . He found that the greatest common factor of these terms was 6 and made an area model:
Semenov [28]

x²-3

Step-by-step explanation:

The expression given is;

6x²-18

Finding the greatest common factor of the terms and simplifying the expression will be;

Divide the terms by 6 to get;

x²-3

Graphing the expression to find the area model will be as attached;

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Factorizing expressions:brainly.com/question/12290978

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4 0
2 years ago
1 point
Ahat [919]

James's current balance on his credit card is <u>$900.</u>

This amount represents the card's balance before the current charge of $1,500 and the finance charge of $60.

<h3>What is a credit card balance?</h3>

A credit card balance is the amount of the charges made on a credit card, including the finance charges, and therefore, owed to a credit card company.

<h3>Data and Calculations:</h3>

Current current balance = $x

APR (Annual Percentage Rate) of interest = 30%

Monthly APR = 2.5% (30%/12)

Current purchase for the month = $1,500

Finance charge for the month = $60

Finance charge for the current purchase = $37.50 ($1,500 x 2.5%)

Finance charge for the current balance = $22.50 ($60 - $37.50)

The current balance that attracts the finance charge of $22.50 will be $900 ($22.50/2.5%).

<u>Alternatively:</u>

Since the monthly APR is 2.5% and the finance charge is $60 for the month, the balance at the end of the month is $2,400 ($60/2.5%).

Thus, the current balance on James' credit card is $900 ($2,400 - $1,500) while the end-of-the-month balance is $2,460 ($900 + $1,500 + $60).

Learn more about credit card balance at brainly.com/question/6872962

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