Answer:
r = 5.58
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
97.9 = 3.14 r^2
Divide each side by 3.14
97.9/3.14 =3.14 /31.4 r^2
31.17834395 = r^2
Take the square root of each side
sqrt(31.17834395) = sqrt(r^2)
5.583757153 = r
Answer:
x = -2
y = 6
Step-by-step explanation:
i multiplied the 1st equation by 3 and the 2nd by 5 to get the y-terms to zero out
12x + 15y = 66
+ <u>35x - 15y = -160</u>
47x = -94
x = -94/47
x = -2
substitute -2 for 'x' to solve for 'y':
4(-2) + 5y = 22
-8 + 5y = 22
5y = 30
y = 6
-0.8x-8.3=12.6
+8.3 +8.3
-0.8x=21
Divide by -0.8x on both sides
X=-26.25
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
Answer: a thunderstorm
Step-by-step explanation:
B/c there is more than one way to do math but if you don’t do it a specific way at a certain time then it becomes a problem.