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Arte-miy333 [17]
3 years ago
10

PLS ANSWEE! B. Two angles that share a common vertex and side. Geometry vocab

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

They are known as "Adjacent Angles"

Step-by-step explanation:

They are two angles  that have a common vertex and a common side but do not overlap.

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Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
Select the correct answer. Solve the equation for x in terms of c. 2/3(cx + 1/2) - 1/4 = 5/2​
Nikolay [14]

Answer:

x = 29/8c

Step-by-step explanation:

2/3(cx+1/2) - 1/4+ 1/4 = 5/2+1/4

2/3(cx+1/2) = 11/4

1/3(cx+1/2) = 11/4 / 2

cx/3 + 1/2/3 = 11/4/2

cx/3 + 1/2*3 = 11/4/2

cx/3 + 1/6 = 11/4/2

cx/3 + 1/6 = 11/4*2

cx/3 + 1/6 = 11/8

cx/3 = 11/8 - 1/6

cx/3 = 29/24

cx = 29/24 * 3

x = 29/8 / c

x = 29/8c

6 0
3 years ago
Rogelio sold a 1/3-page ad to client A, a 2/3-page ad to client B, and a 1/8-page ad to client C. Rogelio says he sold about 1 1
Licemer1 [7]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
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Dave works two jobs. He works at the grocery store making $12 per hour and works at the car wash making $15 per hour. If he work
vladimir2022 [97]

Answer:

11 hours

Step-by-step explanation:

let he works at first store x hours and at car wash y hours. Then

x+y=25

multiply by 4

4x+4y=100  ...(1)

12x+15y=333

divide by 3

4x+5y=111   ... (2)

(2)-(1) gives

y=111-100=11

8 0
3 years ago
B(n)=-1(2)n-1 what's the 5th term in the sequence
Katena32 [7]
B5 = -1 x (2 ^ 5 - 1)
B5 = -1 x (2 ^ 4)
B5 = -1 x 16
B5 = -16

8 0
3 years ago
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