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slamgirl [31]
3 years ago
13

Please help quick!! (refer to picture)

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

You can use power of a point to solve this problem in the scenario where two secants intersect in the exterior of a circle. You get the equation:

(x + 5 + 7)(7) = (x + 1 + 8)(8)

You can simplify to get:

(x + 12)(7) = (x + 9)(8)

7x + 84 = 8x + 72

84 = x + 72

x = 12

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What two numbers multiply to 11 and add to -12
Aliun [14]
The numbers you are looking for are -11 and -1.
3 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (9,7) and (9, -2)
Semmy [17]
Slope = 9
i did the same thing
3 0
3 years ago
Can you answer this question please
AleksandrR [38]
Divide 7.7 by 2 and you get 3.85 so the answer is B 3.85 \pi cm
I am pretty sure that is the answer
6 0
3 years ago
What is the measure of DG?
JulsSmile [24]
Problem 1)

Minor arc DG is 110 degrees because we double the inscribed angle (DHG) to get 2*55 = 110


Answer: 110 degrees

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

Problem 2)

Central angle GDC is the same measure as arc GFC. The central angle cuts off this arc.

The arcs GEC and GFC both combine to form a full circle. There are no gaps or overlapping portions.

So they must add to 360 degrees

(arc GEC) + (arc GFC) = 360
(230) + (arc GFC) = 360
(230) + (arc GFC)-230 = 360-230
arc GCF = 130 


Answer: 130 degrees

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

Problem 3)

Similar to problem 1, we have another inscribed angle. ABC is the inscribed angle that cuts off minor arc AC

So by the inscribed angle theorem
arc AC = 2*(inscribed angle ABC)
3x+9 = 2*(3x-1.5)

Solve for x
3x+9 = 2*(3x-1.5)
3x+9 = 6x-3
9+3 = 6x-3x
12 = 3x
3x = 12
3x/3 = 12/3
x = 4

If x = 4, then 
arc AC = 3x+9
arc AC = 3*4+9
arc AC = 21


Answer: 21 degrees

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

Problem 4)

Since we have congruent chords, this means that the subtended arcs are congruent. In this case, the arcs in question are CO and HZ

So arc CO is congruent to arc HZ


Answer is choice D

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

Problem 5)

We have a right triangle due to Thale's theorem

The angles 75 degrees and x degrees are complementary angles. They must add to 90

x+75 = 90
x+75-75 = 90-75
x = 15


Answer: Choice D) 15 
7 0
3 years ago
A glass is 1/2 full. Then 65cm^3 of orange juice is poured in. The glass is now 6/7 full. What is the total volume of the glass?
ikadub [295]

Answer:

182 cm³

Step-by-step explanation:

Let x cm³ be the total volume of the glass.

1/2 x + 65 = 6/7 x

by multiplying both sides by 2, we have

x + 130 = 12/7 x

5/7 x = 130

x = 182

4 0
3 years ago
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