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4 years ago

Rotation / reflection question PICTURE INCLUDED

Mathematics

1 answer:

Viefleur [7K]4 years ago

7 0

Answer S seems the best way to show that its equal. Correct me if I’m wrong please.

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Given: mAngleADE = 60° and mAngleCDF = (3x + 15)°

Alexeev081 [22]

The missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.

<h3>What are Vertical Angles?</h3>

Two angles are referred to as vertical angles is:

They share the same vertex angle.
They are non-adjacent angles.
They do not share a common side.

<h3>What is the Vertical Angles Theorem?</h3>

According to the vertical angles theorem, two angles that are vertical angles must be congruent to each other, that is, they are equal in measure.

In the image given, as attached below, angle EDF and angle ADC are vertical angles pair. Therefore, based on the vertical angles theorem, they have equal measure (they are congruent to each other).

Thus, the missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.

Learn more about vertical angles on:

brainly.com/question/14362353

#SPJ1

8 0

2 years ago

The

stepan [7]

Answer:

$Area = 129.5m^2$

$Perimeter = 48m$

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the $area\ of\ the\ rectangle$

$A_1 = L * B$

Where:

$L = 20-(3.5 +3.5)$

$B = 7$

So:

$A_1 = (20 - (3.5 + 3.5)) * 7$

$A_1 = (20 - 7) * 7$

$A_1 = 13 * 7$

$A_1 = 91$

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

$A_2 = \pi r^2$

Where

$r = \frac{7}{2}$

$A_2 = \frac{22}{7} * (\frac{7}{2})^2$

$A_2 = \frac{22}{7} * \frac{49}{4}$

$A_2 = \frac{22}{1} * \frac{7}{4}$

$A_2 = \frac{22*7}{4}$

$A_2 = \frac{154}{4}$

$A_2 = 38.5$

Area of the garden is

$Area = A_1 + A_2$

$Area = 91 + 38.5$

$Area = 129.5m^2$

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

$P_1 = 2 * L$

Where:

$L = 20-(3.5 +3.5)$

So:

$P_1 =2 * (20-(3.5 +3.5))$

$P_1 =2 * (20-7)$

$P_1 =2 * 13$

$P_1 =26$

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

$P_2 = 2\pi r$

Where

$r = \frac{7}{2}$

$P_2 = 2 * \frac{22}{7} * \frac{7}{2}$

$P_2 = \frac{2 * 22 * 7}{7 * 2}$

$P_2 = \frac{308}{14}$

$P_2 = 22$

Perimeter of the garden is

$Perimeter = P_1 + P_2$

$Perimeter = 26 + 22$

$Perimeter = 48m$

8 0

3 years ago

Find the area of a triangle with the vertices (5,4) (9,7) (1,6)

andreev551 [17]

u multiply each number with the number diagonal to it!

the area is half of the products of the numbers which were multiplied to the numbers SE to them minus the products of numbers which were multiplied to numbers southwest to them

7 0

4 years ago

Convert 1.97 kJ to calories <br>

scoundrel [369]

Answer:

0.4708413 is the answer

4 0

3 years ago

Two students, Raymond and Shauna, are trying to get city council members to vote for a new park along the river. of the 24 counc

RUDIKE [14]

24*(2/6)= council members supporting = 8 13-8 = how many needed to support = 5

6 0

4 years ago