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wolverine [178]
3 years ago
8

Line WX and line YZ intersect at point V. If angle WVY = 4a + 58 and angle XVY = 2b - 18, find the values of a and b so that lin

e WX is perpendicular to line YZ.
First answer gets brainlyest

Mathematics
1 answer:
amid [387]3 years ago
5 0

we know that

If line WX is perpendicular to line YZ

then

see the attached figure to better understand the problem

m∠WVY=90°--------> 4a+58=90-----> 4a=90-58-----> a=32/4------> a=8°

m∠XVY=90°--------> 2b-18=90----> 2b=90+18------> b=118/2-------> b=59°

therefore

<u>the answer is</u>

a) The value of a is 8 degrees

b) The value of b is 59 degrees

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The quotient of 9 times an unknown number and 16 is 81. What is the value of the unknown number?
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You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 303030 minutes
ddd [48]

You will read for 45 minutes if your brother reads for 15 minutes.

<em><u>Explanation</u></em>

You decide to read 30 minutes longer than your brother reads.

If your brother reads x number of minutes, then 30 minutes longer than x minutes means (x+30) minutes.

As the number of minutes you read is y , so the equation will be:  y= x+30

When your brother reads for 15 minutes, then we will just <u>plug x=15 into the above equation</u>. So.....

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7 0
3 years ago
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The volume of a right square pyramid is 80 cubic feet. If the sides of the base are doubled, but the height remains the same, wh
maksim [4K]

Answer:

  320 cubic feet

Step-by-step explanation:

The volume is proportional to the product of the area of the base and the height of the pyramid. When the dimensions of the base are doubled, the area is multiplied by 2² = 4, hence the volume of the pyramid will be multiplied by 4.

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7 0
3 years ago
the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
marshall27 [118]

Answer:

k=\frac{153}{124}

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

p(y)=ky^3+3y^2-3

When p(y) is divided by y-5, the remainder is

p(5)=k(5)^3+3(5)^2-3

p(5)=125k+75-3

p(5)=125k+72

When the second polynomial:

m(y)= 2y^3-5y+k is divided by y-5.

The remainder is;

m(5)= 2(5)^3-5(5)+k

m(5)= 225+k

The two remainders are equal;

\implies 125k+72=225+k

\implies 125k-k=225-72

\implies 124k=153

k=\frac{153}{124}

3 0
3 years ago
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