Answer:
140
Step-by-step explanation:
<u>As per picture:</u>
∠PTQ and ∠RTS are vertical angles and they are equal
- ∠PTQ = (x + 28)°
- ∠RTS = (2x + 16)°
- ∠PTQ = ∠RTS
- x + 28 = 2x + 16
- 2x - x = 28 - 16
- x = 12
∠PTR is supplementary with ∠PTQ and their sum is 180°
- ∠PTQ = 12 + 28 = 40°
- ∠PTR = 180 - 40 = 140°
Answer:
well mostly the answer is welcome to help :) a = -15
<u>Question 7:
Define x :
</u>
Let the digit in the ones place be x.
The digit in the tens place is x+2.
The sum of the digit and its reverse is 66
<u>Find x:</u>
10(x + 2) + x + 10x + (x + 2) = 66
10x + 20 + x + 10x + x + 2 = 66
22x + 22 = 66
22x = 44
x = 2
<u>Find the number:</u>
The number in the ones place = x= 2
The number in the tens place = x = 2 + 2 = 4
Answer : The number is 42.
<u>Question 8:</u>
<u>Define x:</u>
Let the digit in the tens place be x.
The digit in the ones place is x+7.
The number = 10x + x + 7 = 11x + 7
If the digit interchange,
the number = 10(x + 7) + x = 10x + 70 + x = 11x + 70
<u>Find x:
</u>
9(11x + 7) = 2(11x + 70)
99x + 63 = 22x + 140
99x - 22x = 140 - 63
77x = 77
x = 1
<u>Find the number:
</u>
x = 1
x + 7 = 1 + 7 = 8
So the number is 18
Answer: The number is 18.
Answer:
It's (A) and (D) like the person in the comments said. (B) is wrong.
Step-by-step explanation:
Answer:
Shorter piece: 23 inches
Longer piece: 92 inches.
Step-by-step explanation:
Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.
