Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
Answer:
23%
Step-by-step explanation:
First, add all prices together
120.54 + 55.99 + 65.00 = 241.53
Then see what percent 241.53 is of 1,050
23%
Hope this helps! Good luck!
Answer:
Monica's age = 34 years
Her daughter's age = 10 years
Step-by-step explanation:
Let Monica's age = x
Let her daughter'sage = y
x + y = 44 -------> equ 1
After 2 years:
Monica's age = x + 2
Her daughter's age = y + 2
x + 2 = 3 * (y+2)
x + 2 = 3y + 6
x = 3y + 6 -2
x = 3y + 4
Put x value in equ 1:
3y + 4 + y = 44
4y = 44 - 4
4y = 40
y = 40/4
y = 10
x = 44 -10
x = 34
Answer:
Step-by-step explanation:
A circle with a radius of 5 units has a circumference of 31.416 units.
Answer:
true.
Step-by-step explanation:
the line only passes through the y-intercept once.
