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2 years ago

Does anyone know how to do this?

Mathematics

1 answer:

Elanso [62]2 years ago

5 0

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

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If triangle ABC is similar to triangle PQR, find the value of x and y.

tester [92]

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

$\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}$

$\frac{6}{x}= \frac{4}{y}= \frac{8}{12}$

$\frac{6}{x}= \frac{8}{12}$

x = $\frac{12\times 6}{8}$

x = 9

Similarly, $\frac{4}{y}= \frac{8}{12}$

y = $\frac{12\times 4}{8}$

y = 6

6 0

2 years ago

Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and

kaheart [24]

<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

For slope:

$m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7$

Slope (m) = 7

For y-intercept:

$5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b$

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

$y= 7x + 26\\\\y - 5 = 7(x + 3)$

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

Point-slope form: y - y₁ = m(x - x₁)

*Note: (x₁, y₁), (x₂, y₂) = 2 points on the line

6 0

2 years ago

What is the reason for Statement 3 of the two-column proof?

Ivenika [448]

Refer to the attached image.

Given:

The measure of $\angle JMK= 52^\circ$ and $\angle KML= 38^\circ$ .

Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove: $\angle JML$ is a right angle.

Proof:

Statements Reasons

1. $m \angle JMK=52^\circ$ Given

2. $m \angle KML=38^\circ$ Given

3. $m \angle JMK+m \angle KML=m \angle JML$

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. $52^\circ+38^\circ = m \angle JML$ Substitution property of equality