Is perpendicular to . How many 90° angles are formed by the intersection?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

4, there are 4 equal angles

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2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work

Nostrana [21]

On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90

Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80

m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100

The measure of angle B is 100 degrees, and the value of x is 90.

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3 years ago

Ben rolls a number cube 50 times. He records the result of each roll in the table below.

jek_recluse [69]

Answer:

picture ?

Step-by-step explanation:

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2 years ago

Which are NOT leaner select 3 functions

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Power functions are not linear, therefore B,D,F are the answers

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3 years ago

Is negative 2 n 13/16 greater, or less than or equal to negative 2 11/14???

Kazeer [188]

$-2 \frac{13}{16} \ \textless \ -2\frac{11}{14}$

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3 years ago

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of

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That is an annuity and use the attached formula.

Total = 300 * [(1.055)^11 -1] / .055 -300
Total = 300 * 1.8020924036 -1 /.055 -300
Total = 300 * .8020924036 / .055 - 300
Total = 300 * 14.5834982473 -300
Total = 4375.0494741818 -300
Total = 4075.05

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3 years ago