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3 years ago

Solve the system of equations and choose the correct answer from the list of options.

1 answer:

8 0

We can solve this system of equation by reduction method.
  d+e=15
-d+e=-5
-------------------
2e=10   ⇒e=10/2=5

-(d+e=15)
-d+e=-5
-----------------
-2d=-20   ⇒d=-20/-2=10

therefore: d=10; e=5

Answer: d.(10,5)

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Question 7 of 33

astraxan [27]

Answer:

90°.

Step-by-step explanation:

When two straight lines intersects obliquely then there will be two angle of intersection, one angle is acute and the other one is obtuse.

But, here the two straight lines AB and xy intersects perpendicularly and AB bisects xy.

Therefore, the two angle of intersection are 90° each.

Hence, the angle of intersection in our case will be equal to 90°. (Answer)

7 0

4 years ago

Luis is 4 years older than Colleen. In 4 years the sum of their ages will be 52. How old is Luis now?

Andre45 [30]

Answer:

x: Colleen

Luis: x+4

x+x+4=52

2x+4=52

2x=48

x=24: Colleen

x+4=28 Luis

5 0

3 years ago

George places 35 books on 7 shelves each shelf holds the same number of books which equations can be used to find how many books

tino4ka555 [31]

35 divided by 7=5 so there's 5 books on each shelf

5 0

4 years ago

Which is the constant of proportionality for the data in the table?

Lisa [10]

Answer:

C) 6

Step-by-step explanation:

From the given data we can find the constant of proportionality by dividing The number of people by number of cars.

Constant of proportionality = $\frac{\textrm{Number of people}}{\textrm{Number of cars}}$

Taking any point from the table will give the same constant of proportionality as they are proportional quantities.

Constant of proportionality = $\frac{18}{3}=\frac{30}{5}=\frac{36}{6}=\frac{48}{8}=6$

This can be written as 6 people per car.

For 10 cars, number of people will be = $10\times 6$ =60 people.

5 0

3 years ago

How do you solve for a side in a right triangle that has a hypotenuse of 10, an angle of 35, and the side across from the angle

goblinko [34]

$\sin \theta = \dfrac{\textrm{opposite}}{\textrm{hypotenuse}}$

$\sin 35^\circ = \dfrac{x}{10}$

$x = 10 \sin 35^\circ$

That's the exact answer; they usually want a calculator approximation at this point,

$x \approx 5.735$

7 0

3 years ago