Answer:
A
Step-by-step explanation:
The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!
The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
<h3>The circle with center P</h3>
Given that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
<h3>The length of the minor arc</h3>
The given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
Read more about circle and arcs at:
brainly.com/question/3652658
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Answer:
- D. No, they are not similar.
Step-by-step explanation:
<u>Check the ratio of the two given sides:</u>
- MV/VT = 21/49 = 3/7
- LV/VU = 8/28 = 2/7
Ratios are different so the triangles are not similar
Correct choice is D
We have been given that a huge ice glacier in the Himalayas initially covered an area of 45 square kilo-meters. The relationship between A, the area of the glacier in square kilo-meters, and t, the number of years the glacier has been melting, is modeled by the equation 
.
To find the time it will take for the area of the glacier to decrease to 15 square kilo-meters, we will equate 
and solve for t as:
Now we will switch sides:
Let us take natural log on both sides of equation.
Using natural log property 
, we will get:
Therefore, it will take 
years for area of the glacier to decrease to 15 square kilo-meters.
= 