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Zolol [24]
3 years ago
14

I don't understand stand this​

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Step-by-step explanation:

step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent

step 2. x = 56° (definition of an isosceles trapezoid)

step 3. x + y + z + 56 = 360 (definition of a quadrilateral)

step 4. y = z (definition of an isosceles trapezoid)

step 5. 56 + 2y + 56 = 360

step 6. 2y = 248

step 7. y = 124°, z = 124°.

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A hose fills a small swimming pool at a rate of 15 cubic feet per 60 seconds. Which equation can be used
Vaselesa [24]

Answer:

y = 1/4x

Step-by-step explanation:

y = amount of cubic feet = 15 cubic feet

x = time taken = 60 seconds

y = kx

Where,

k = constant of proportionality

y = kx

15 = k * 60

k = 15/60

k = 1/4

The equation

y = kx

Where

k = 1/4

Becomes,

y = 1/4x

6 0
3 years ago
X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Andru [333]

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

x-y=2

And move y to the other side to isolate x:

x=2+y

Now we can replace x into the first equation:

(2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48

Notice that we can cancel out the y squared terms:

4+4y=48\\ 4y=44\\ y=11

Now we just need to find x by replacing y into the second equation:

x-11=2\\ x=13

And finally, add them:

x+y=11+13\\ x+y=24

Hope this helps.

3 0
2 years ago
Read 2 more answers
Hal has 16 gallons of water. If he drinks 1/2 gallon every day, how many days will the water last?
GuDViN [60]
Should be 32 days. I say that because half of 1 gallon is drank a day so multiple 16x2=32
7 0
4 years ago
Read 2 more answers
Given a∥b , and c is not parallel to a or b, which statements must be true?
Vlad1618 [11]

Answer:

1. We have been given that a∥b , and c is neither parallel to a nor b.

Let us see which of our given options are correct.

A. m∠7 can not be equal to m∠11  as line c is not parallel to line a.

B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.

C. By alternate interior angles m∠4=m∠5  as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.  

D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.

Therefore, Option C and D are correct choices.

2. We have been given that  AB∥CD and m∠4=85°. We are asked to find measure of ∠5.

Since we know that same side interior angles are supplementary. In our figure we can see that  ∠4 and ∠5 are same side interior angles.

Therefore, measure of ∠5 will be 95 degrees.  

Step-by-step explanation:

1. is m∠4=m∠5 by the alternate interior angle theorem.

2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.

plz give braniy

8 0
3 years ago
Danika has saved enough money to pay cash for a used car. She wants to buy a car that costs four thousand nine hundred dollars b
Likurg_2 [28]
5194... u got to multiply the original value of the car by the sales tax.. then add the tax to the value of the car for the new value
8 0
3 years ago
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