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Zielflug [23.3K]
3 years ago
12

In parallelogram ABCD measure angle A=(2x) and measure angle B=(5x+5). what are the measures of the angles of the parallelogram

Mathematics
1 answer:
iragen [17]3 years ago
7 0

Opposite angles are equal, so we know that C=2x and D=5x+5 as well.

The sum of the interior angles of any quadrilateral is 360, so we have

2(2x+5x+5)=2(7x+5)=360 \iff 7x+5=180 \iff 7x=175 \iff x=25

So, the measures of the angles are

2x=50,\quad 5x+5=130

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Solve the formula <br> x − y = −8 for y.
laiz [17]

Answer:

y = x + 8

Step-by-step explanation:

x - y =  - 8

x + 8 = y

4 0
3 years ago
You throw a baseball into the air at an initial velocity of 30 feet per second. When the ball leaves your hand it is 5 feet abov
ValentinkaMS [17]
Assuming this little game of catch took place on planet earth, negative acceleration due to gravity is -9.8 m/s .
Converting 30ft/s to m/s, initial velocity was 30ft/s x 0.305ft/meter = 9.14m/s 

Let's find how long it took for the velocity to equal zero, meaning when the ball reached it's highest point and, for a split second, stopped in mid-air before falling back down.

V(t) = Vi + a*t , where V(t) is velocity as a function of time, a is acceleration due to gravity, and t is time. Set V(t) = 0
0 = 9.14 + (-9.8)* t          Add -9.8t to both sides
9.8t = 9.14                      Divide both sides by 9.8
t = 0.93 seconds

Let's say your hand is the base point, or where h=zero. We want to find how high above your hand the ball went before it started coming down. Using the distance, or in this case height, formula:
h = Vi*t + (1/2)at²               Plug in Vi, a, and our t value, 0.93
h= 9.14 * 0.93 + (1/2)(9.8)(0.93²)
h= 8.5 + 4.9 (0.865)
h = 8.5+ 4.27
h = 12.74 meters

The ball made it 12.74 meters above your hand. Your friends had was one foot above yours, so let's subtract .305 meters to see how far it dropped from the peak height to his hand.
12.74-.305 = 12.43 meters

Let's use the distance formula again to see how long it took to come down. Remember that this time, initial velocity is zero, since the ball starts off suspended in the air.
-12.43 = 0*t + (1/2)(-9.8)(t²)         Divide both sides by -9.8/2, or -4.9
2.5374 = t²
t = 1.59

The ball took .93 seconds to go up, and 1.59 seconds to come down to your friend's glove. The total time the ball was in the air:
.93 + 1.59 = 2.52 seconds
7 0
4 years ago
Which calculations could be used to solve this problem?    Isabel's art class has 27 students. There are 2 times as many boys as
musickatia [10]
A is wrong.
B is correct.
C is wrong
D is correct as it is the same method as B
8 0
3 years ago
Use parenthesis to make each number sentence true. <br><br> 124 - 6 x 0 + 15 = 34
Natasha2012 [34]

Answer:

12 - 6 x (0 + 15) = 34

How I got my answer

First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.

P.S. Sorry if it was confusing, I didn't really know how to explain it

5 0
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Genrish500 [490]
Purple- 4/7
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