Answer:
(A) 70°
(B) 67°, because they are alternate interior angles
Step-by-step explanation:
<em>For a:</em>
The angles of a triangle will all add up to 180°. Using the "feathers" (lines that signify congruence), we can tell that the angle connecting the two congruent lines will be different than the other two, which will be equivalent to each other.
This means that the angle measure of x will be 
, or just 
.
This is equal to 70°.
<em>For b:</em>
We know that the 67° angle and y are formed by the same line intersecting two parallel lines. This means that the angle measures of each intersection point will be the same as the other intersection point, however they will be flipped. This makes the concept of alternate interior angles. We know that the 67° angle and y are formed by the same line, this means that their angle lengths are the same - therefore y is 67°.
Hope this helped!
Answer:
Step-by-step explanation:
Since the boys collected 16 cans each and there are 12 of them it means they collected 16*12= 192 cans in total
there are 15 girls and each collected 14 cans. Therefore they collected 15*14=210 cans in total
210-192=18 cans the girls collected more than the boys
Answer:
$742
Step-by-step explanation:
To solve this, you need to figure out what 6% of 700 dollars is and then add that to 700. The easiest way to find the percentage of a number is to set it up in the equation:
6/100 = x/700 where 6 is the percentage of 700 (out of 100 because you can only get up to 100 percent in this case) and x is 6 percent of 700. when you cross multiply, you get 100x = 4200. Then you divide both sides by 100 to get x by itself. This will give you x = 42 Add this to 700 for 742 as the total amount that will be paid. Sorry if this first half was a little confusing
Answer:
h=A/(b1+b2/2)
Step-by-step explanation:
it is the reverse
Answer:
t=3.5 seconds
Step-by-step explanation:
Given
h(t) = −16t^2 + 111t + 0
h'(t)= -32t + 111
Maximum height occurs when h(t) = 0 and the ball begins to fall
h(t)= -32t + 111=0
-32t + 111=0
-32t=-111
Divide both sides by -32
t=3.46872
Approximately, t=3.5 seconds
Recall,
Maximum height occurs when h(t) = 0
h(t)= -32t + 111=0
= -32(3.46872)+111
= -110.99904+111
= 0.00096 ft
