<u>Given</u>:
Given that PQR is a triangle.
The measures of the sides of the triangle are 4,5 and 6.
We need to determine the measure of ∠Q.
<u>Measure of ∠Q:</u>
The measure of ∠Q can be determined using the law of cosines formula.
Thus, we have;
Substituting p = 6, q = 4, r = 5, we get;
Simplifying, we get;
Dividing, we get;
Thus, the measure of ∠Q is 41°
Hence, Option b is the correct answer.
Answer:
x = 1.5
y = 0
Step-by-step explanation:
10x + 5(2x - 3) = 15
10x + 10x - 15 = 15
20x - 15 = 15
20x = 30
x = 1.5
y = 2(1.5) - 3
y = 3 - 3
y = 0
Check:
10(1.5) + 5(0) = 15
15 + 5(0) = 15
15 + 0 = 15
15 = 15
Answer:
D) 5
Step-by-step explanation:
Step-by-step explanation:
YO ≅ NZ
Given
YO + OZ ≅ NZ + OZ
Additive property
YZ ≅ NO
Segment addition postulate
∠M ≅ ∠X, ∠N ≅ ∠Y
Given
ΔMNO ≅ ΔXYZ
AAS congruence
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
