Positive because it equals 7y
Answer:
We get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
Step-by-step explanation:
we have ∠A = (2x − 30)° and ∠B = 4x, and we need to find measure of larger angle. And ∠A and ∠A are supplementary angles.
If the angles are supplementary there sum is equal to 180° i.e ∠A + ∠B = 180°
So, First we have to find the value of x. and then we can determine larger angle.
We know: ∠A + ∠B = 180
2x-30+4x=180
6x-30=180
6x=180+30
6x=210
x=210/6
x=35
So, value of x is x=35
Now finding ∠A and ∠B
∠A = (2x − 30)°
∠A = (2(35) − 30)°
∠A = (70 − 30)°
∠A =40°
and ∠B = 4x
∠B = 4(35)
∠B = 140°
So, we get ∠A =40° and ∠B = 140° and ∠B = 140° is measure of larger angle
The length of UV is 11.
Solution:
UV = 2x - 13
VW = -18 + 2x
UW = 17
UV + VW = UW
2x - 13 - 18 + 2x = 17
4x - 31 = 17
Add 31 on both sides.
4x - 31 + 31 = 17 + 31
4x = 48
Divide by 4 on both sides.
x = 12
UV = 2x - 13
= 2(12) - 13
= 24 - 13
UV = 11
The length of UV is 11.
Step-by-step explanation:
Let the number of children that swam be A
Let the number of adults that swam be B
1.75A+2B=1113.75 Equation 1
Total number of people that used that pool =602
A+B=602 Equation 2
These are simultaneous Equations
multiply Equation 2 by(2) on both the sides we get
2A+2B=1204 Equation 3
Subtract Equation 1 from Equation 3
2A+2B=1204 Equation 3
1.75A+2b=1113.75 Equation 1
<u> - - -</u>
.25A+0 =90.25
.25A=90.25
A=90.25/.25
A=361
putting value of A in Equation 2 we get
361+B=602
B=602-361
B=241
so number of children is 361
and number of adults is 241
