Answer:
Step-by-step explanation:
11. 76x + 23x = 33
99x = 33
x = 33/99 which reduces to 3
12. 140r - 8r - 4r = 216
128r = 216
r = 216/128 which reduces to 27/16
13. 98c - 99c = 1
-1c = 1
c = -1/1
c = -1
14. 104mn + (-84mn) = 36
104mn - 84mn = 36
20mn = 36
mn = 36/20 which reduces to 9/5....I am not sure about this one...I was not sure if u were looking for m or n..so I didn't separate them. But if ur looking for m, it is m = 9/5n...and if ur looking for n, it is n = 9/5m
15. 118j - 234j = 234
- 116j = 234
j = -234/116 reduces to - 117/58
Step-by-step explanation:
<h3>Let the number be x </h3><h3>X×5 =1/2 × 3/5 × 61</h3><h3>5X = 18 </h3><h3>X = 18/5 </h3><h3>X =3.3</h3>
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
Answer:
-i
Step-by-step explanation:
i^15
Divide the exponent by 4
15/4 = 3 r 3
Take the remainder and use as the exponent
i^3
We know that i^2 = -1
i^3 = i^2 *i
i^3 = -1*i
-i
Two angles are said to be complementary, if the sum of the two angles is 90 degrees.
Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.
From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.
Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.
Therefore, the complementary angles to angle SWT are angle USP and angle TSV.
