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3 years ago

I need helpp pleaseeeee

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

Answer/Step-by-step explanation:

The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.

Therefore:

7. <E = <G

Sum of interior angles of a quadrilateral = 360

Thus,

<E = (360 - (150 + 90))/2

<E = 120/2

<E = 60°

<E = <G (set of congruent opposite angles of a kite)

Therefore,

<G = 60°

8. <H = <F (set of congruent opposite angles of a kite)

<F = right angle = 90°

Therefore:

<H = 90°

<G = 360 - (90 + 110 + 90) (sum of quadrilateral)

<G = 70°

9. Based on trapezoid midsegment theorem, the equation should be:

MN = (AB + DC)/2

Thus:

8 = (14 + DC)/2

8 * 2 = 14 + DC

16 = 14 + DC

16 - 14 = DC

2 = DC

DC = 2

10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.

Therefore, m<A ≠ 50°

Rather, m<B = m<D = 120°

m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)

m<A = 70°

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2 years ago

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2 years ago

64,328 to the ten thousands place

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3 years ago

Identify the inverse of the following.

posledela

Answer:

$f^{-1}(x)=\sqrt{\frac{1}{8}(-x+4)}$

Step-by-step explanation:

Given function is,

f(x) = -8x² + 4

Step to find the inverse of the function,

Step 1

Write the function in the form of an equation,

y = -8x² + 4

Step 2

Interchange the variables 'x' and 'y',

x = -8y² + 4

Step 3

Solve the equation for y,

x = -8y² + 4

x - 4 = -8y²

-x + 4 = 8y²

y² = $\frac{1}{8}(-x+4)$

$y=\sqrt{\frac{1}{8}(-x+4)}$

Therefore, inverse of the function f(x) will be,

$f^{-1}(x)=\sqrt{\frac{1}{8}(-x+4)}$

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2 years ago

Please help will give brainliest

KatRina [158]

Hi there!

First, scientific notation is when you take a number like 15,000 or 0.0015 and turn it into a number that is less than 10 and greater than 1. What you do to make it that is you move that decimal point over to the left or right as needed. So for example, 15,000 would be 1.5 × $10^{4}$ and 0.0015 is 1.5 × $10^{-3}$ .

So if one light year is 5.88 × $10^{12}$ mi. that is just the scientific notation for 5880000000000 mi.

So if you take 5880000000000 mi. and multiply it by 11 then you get 64680000000000

5880000000000 × 11 = 64680000000000 or 6.468 × $10^{13}$

So the answer would be $\boxed{64680000000000}$ or $\boxed{6.468*10^{13} }$

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2 years ago