Answer:
x=10
A = 84
Step-by-step explanation:
A and B are supplementary angles so they add to 180 degrees
A + B =180
2x+76 + 5x+34 = 180
Combine like terms
7x+ 110 = 180
7x+110-110 = 180-110
7x = 70
Divide by 7
x = 10
Now find A
A = 5x+34
A = 5*10 +34
= 50+34
A = 84
Answer:
D) 1/4
Step-by-step explanation:
To solve this, first lets figure out what this variable is. We know we must multiply by t. Well, looking at it, we know that t is one. So lets plug that in.
2*1/2^3(1)
Now we need to figure out what the exponent is that 2 will be raised to. To find that, find out what 3 times one is.
2*1/2^3
Now we need to solve the exponent.
2*1/8
Remember, 2 cubed is eight.
Now we need to find out what 2*1/8 is. To solve this more easily, I am going to turn two into a fraction. This will give us 2/1*1/8. Now we cross multiply, multiplying the numerators by the numerators, and the denominators by the denominators. Remember, the numerator is the top number, and the denominator is the bottom number.
If we do that, we get:
2/8
If we simplify it, we get 1/4. So the asnwer is D) 1/4
Answer:
8 square units
Step-by-step explanation:
The figure is a trapezoid. The area of it is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases and h is the distance between them.
Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...
A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8
The area of the figure is 8 square units.
_____
The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.
Answer:
y = -2
Step-by-step explanation:
y - 2 = -4
add 2 to both sides
y - 2 + 2 = -4 + 2
y = -2
Answer:
y= 10
Step-by-step explanation:
-3x-5y=4
+3x +3x
-5y=7x
+5y +5y
y= 10