Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
B
Step-by-step explanation:
B
Answer:
1,035,600
Step-by-step explanation:
since the rate sales increased 2.5% per year 8*2.5=20/100=0.2*863,000=172,600 and since we already are earning 863,000 so 863,000+172,600=1,035,600
Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
<h3>
Answer: E. 7</h3>
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Explanation:
Any point on the x axis always has its y coordinate equal to 0.
Plug in y = 0 and solve for x
y = 4x-28
0 = 4x-28
4x-28 = 0
4x = 28
x = 28/4
x = 7
Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.
Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.
