Answer:
<B is 126degrees
Step-by-step explanation:
Find the diagram attached. From the diagram, <A = <B (corresponding angle)
Given
<A = 8x + 78
<B = 2x+114
Equating both expressions
8x+78 =2x + 114
8x-2x = 114 - 78
6x = 36
x = 36/6
x = 6
Get <B
Recall that <B = 2x+114
<B = 2(6) + 114
<B = 12 +114
<B = 126degrees
Hence the measure of <B is 126degrees
<h2>Answer </h2>
$96
<h2>Explanation</h2>
Let Margo's pay check
We know for our problem that she spends 0.25 of her pay check on a new dress, so she spent on the new dress. We also know that she spends 1/8 = 0.125 of her paycheck on shoes, so she pent on shows. Finally, we also now that she spends another $24 for total expenses of $60, so:
Now we can solve for to find how much was Margo's paycheck:
We can conclude that Margo's pay check was $96
Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.
<h3>What is the hang time equation?</h3>
The hang-time of the ball for a player of jump h is given by:
The expression can be simplified as:
For a player that has a hang time of 0.9s, the jump is found as follows:
h = 3.24 feet.
For a player that has a hang time of 0.8s, the jump is found as follows:
h = 2.56 feet.
The difference is given by:
3.24 - 2.56 = 0.68 feet.
More can be learned about equations at brainly.com/question/25537936
#SPJ1