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Zina [86]
2 years ago
15

Find the measure of the three missing angles in the rhombus below.Explain it.

Mathematics
1 answer:
wlad13 [49]2 years ago
6 0

The measure of the three missing angles in the given rhombus are:

x = 122°

z = 58°

y = 122°

<h3>What is a Rhombus?</h3>

A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.

x and 58° are adjacent angles and are therefore supplementary.

x = 180 - 58 = 122°

z = 58° (opposite angles)

y = x = 122° (opposite angles)

Learn more about a rhombus on:

brainly.com/question/20627264

#SPJ1

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What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a h
azamat

Answer:

62.4 square centimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the triangular pyramid is equal to the area of the triangular base plus the area of its three lateral triangular faces

In this problem the triangles are equilateral, that means, the

surface area is equal to the area of four congruent equilateral triangles

so

A=4[\frac{1}{2}(b)(h)]

we have

b=6\ cm\\h=5.2\ cm

substitute

A=4[\frac{1}{2}(6)(5.2)]=62.4\ cm^2

3 0
3 years ago
You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
6 0
3 years ago
Point q is the image of Q(5, -3) after a translation down 2 units and right 4 units. What are the coordinates of Q?
Jet001 [13]

Answer:

<em>(9,-5)</em>

Step-by-step explanation:

When you go down, the number will decrease. The vertical position is the Y axis. -3-2=5.

When you go right, the number will increase. The horizontal position is the X axis. 5+4=9

<em>(9,-5)</em>

<u>Hope this helps :-)</u>

4 0
3 years ago
If Sasha can run 720 yards in 4 minutes, how many feet can she run in 15 seconds?
Vika [28.1K]
Okay so you're trying to find the unit rate of 720yds/4min. If you divide 720 by 4 you will have the unit rate as 180yds/1 min or 60 sec then if you divide 180 and 60 by 4 again you will get the answer of 45yds/15sec.
6 0
3 years ago
Solve for x. -8x-8=-5x+13
klasskru [66]
The answer would be x = -7.
Hope this helps!

7 0
2 years ago
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