Answer:
5) x = 24
6) x = 48
Step-by-step explanation:
I'd be glad to help :)
For question 5, we know that 62 and the unknown angle is a straight angle, so 62+y = 180. y = 118. We also know all the angles in a triangle add up to 180, so x+(x+14)+118 = 180. Therefore, 2x+132 = 180. We now know that 2x = 48, so x = 24 for question 5.
For question 6, We know that because the line is divided up, (x+35) can be moved down a line, so (2x+1)+(x+35) = 180, so 3x+36 = 180. We now know that x = 48 for question 6
Y= 105
X+Z= 360 - (105*2)= 150
X= 150/2 = 75
Z= 150/2 = 75
Answer:
c. 12 cu. cm.
Step-by-step explanation:
The larger cuboid is an array of 4 × 3 = 12 of the smaller ones. The volume of the smaller cube is (1 cm)³ = 1 cu. cm. The volume of the larger cuboid is 12 times that value:
12 × 1 cu. cm = 12 cu. cm.
Answer:
- ΔSQR ≅ ΔTQP by ASA congruence
- triangle congruence is needed before a claim based on that can be made
Step-by-step explanation:
1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:
ΔSQR ≅ ΔTQP --- ASA congruence postulate
__
2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.
"17 less than" implies subtraction of the product of 3 and m, so the equation would be, if solving for x:
x=3m-17
