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emmainna [20.7K]
3 years ago
14

Find the value of x and y

Mathematics
1 answer:
algol133 years ago
8 0
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
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Agree &amp; disagree statements: CIrcles
likoan [24]

Answer:

1. False

2. True

3. true

Step-by-step explanation:

The first answer is false, the second one is true and the third is true

6 0
2 years ago
Mold grows on bread and every day it doubles by the eighth day the entire bread is covered with mold when was half the bread cov
Brut [27]

Answer:

The mold will cover half the area as much are one day before it.

Step-by-step explanation:

Given:

Every day the mold on bread grows doubles

And by 8th day entire bread covered with it.

To Find:

When was half the bread covered by mold.

Solution:

It is said that area covered by mold doubles on each day

Total days taken to cover entire bread are 8

Let Area of bread be A

So Area covered (A) corresponds to 8 days with doubling.

So on previous day it should What ever area on 8th day/2

i.e A(8)/2

Similar on 6th day A(7)/2

So on 5ht day =A(6)/2 ,4th= A(5)/2,  on 3rd= A(4)/2, on 2nd=A(3)/2

On 1st =A(2)/2

So we required  Area= half of total.

<em>One day before the 8th day will be 7th day</em>

<em>on that day it will cover half are so that on next day will cover the double of the previous area consumed.</em>

4 0
3 years ago
Two semicircles are attached to the sides of a rectangle as shown.
melomori [17]

Answer:

157\ in^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

<u>The area of rectangle is equal to</u>

A=14*5=70\ in^{2}

<u>The area of the small semicircle is equal to</u>

A=\pi r^{2} /2

r=5/2=2.5\ in -----> radius is half the diameter

substitute

A=(3.14)(2.5^{2})/2=9.8125 in^{2}

<u>The area of the larger semicircle is equal to</u>

A=\pi r^{2} /2

r=14/2=7\ in -----> radius is half the diameter

substitute

A=(3.14)(7^{2})/2=76.93\ in^{2}

The area of the figure is equal to

70+9.8125+76.93=156.7425=157\ in^{2}

8 0
3 years ago
Read 2 more answers
Emi made a 90 on her math test. There was 60 problems on her test. How many did she miss?
viva [34]
If she made a 90 that means 90 percent aka .90 so multiply that by 60 to get 54 right aka 6 wrong which you could find either by subtracting 54 from 60 or solving for 10 percent bc she got that much wrong and multiply .10x60=6 wrong
3 0
3 years ago
Robert borrowed $750 from his parents. He promised to repay the loan by giving his parents at least $67 from his paycheck each w
Luda [366]

To answer this question we can propose the following equation:


d=750 -x(67)


Where:


x is the number of weeks elapsed.


d is the debt depending on the weeks.



Robert promised to pay at least $ 67 each week.


Therefore, after 5 weeks the debt of rober should be:


d\leq750-5*67

d\leq415


Then scenario A) is possible because 150.



After 6 weeks:


d\leq750-6*67


d\leq348

Then scenario B) is possible because 200.



After 7 weeks


d\leq750-7*67


d\leq281

Then scenario C) is possible because 250.



After 8 weeks

d\leq750-8*67

d\leq214

So scenario D) is NOT possible because 300>214



Finally the correct answer is option D.

3 0
3 years ago
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