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3 years ago

what’s the slope and y intercept of the loire that is perpendicular to y=-2x-5 and passes through the point (-3,-6)

Mathematics

1 answer:

Doss [256]3 years ago

8 0

Answer:

slope: ½

y-intercept: -4½

Step-by-step explanation:

Slope: negative reciprocal of -2

-1/-2 = 1/2

y = ½x + c

-6 = ½(-3) + c

-6 = -3/2 + c

c = -6 + 3/2

c = -9/2 = -4½

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Which statement is the inverse of the following? If the sum of the measures of two angles is 90°, then the angles are complement

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Please help<br><br> Solve for x and y<br> 60 points!!!!

dlinn [17]

Answer:

see explanation

Step-by-step explanation:

(1)

x + 20 and 45 are vertically opposite angles and are congruent, so

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Proving trapezoid theorems Geometry

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Answer:

ΔABD ≅ ΔACD by SAS, therefore;

$\overline {BD} \cong \overline {CA}$ by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

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2 years ago

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Please please please help. thank you.

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

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3 years ago