Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
6
Step-by-step explanation:
this question is basically asking you to find the HCF of 30 and 36
step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors
step 2: multiply the prime factors they have in common
30 = 2 x 3 x 5
36 = 2 x 2 x 3 x 3
HCF = 2 x 3 = 6
Answer:Area of part 1:
A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2
Area of part 2:
A2=length*width=(8+2)*1=10 ft2
Area of part 3:
A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2
Total area of the reactangle : A=16*8=128 ft2
Total area of the nonshaded region : 128-41=87 ft2
Step-by-step explanation: Plz make brainliest
Answer:
Hours
Step-by-step explanation:
Jake is being paid $15 an hour, not per child.
Say he has five children, three stay for one hour, two stay for two hours. If he's getting paid per hour, then he'd earn $105. But, if he gets paid per child he'd only make $75 dollars.
But since it says that he gets paid per HOUR, it would be proportional to how much money he makes.