Please help What is the measure of Y, in degrees?

Scilla [17]

201 x 1 = 201
That is an equation that equals 201<span />

5 0

3 years ago

The nature park has pride of 4 lions and 2 cubs. The adults eat 6 pounds of meat each day and the cubs eat 4 pounds. Simplify 4

Sophie [7]

Answer:

32

Step-by-step explanation:

The data given in the question

4 lions and 2 cubs

Eat 6 pounds of meat each day and the cubs eat 4 pounds by the adult

And, the given equation is

= 4 × 6 + 2 × 4

= 24 + 8

= 32

We apply the BODMASS rule that means we do the multiplication first and then addition so that the value could come accurate

Hence, the amount of meat consumed each day by the lions is 32

6 0

3 years ago

Drag and drop a statement or reason to each box to complete the proof. Given: parallelogram EFGH Prove: EG¯¯¯¯¯ bisects HF¯¯¯¯¯¯

Archy [21]

Answer:

The question is incomplete. The complete question has been added as an attachment to the solution.

To aid easy identification of the unknowns, I attached another document where I numbered the unknowns.

1) EF ≅ HG

2) EF || HG

3) <FEK ≅ <HGK

<EFK ≅ <GHK

4) When two parallel lines are cut by a transversal, alternate interior angles are congruent.

5) EK ≅ GK

FK ≅ HK

Step-by-step explanation:

1) In the given parallelogram EFGH,

It is stated that the opposite sides of a parallelogram are congruent. Therefore, EF ≅ HG

2) It would be noted from the properties of a parallelogram, that the opposite sides are parallel. Therefore, EF || HG

3) Definition of a parallelogram: A parallelogram is a quadrilateral with two opposite sides that are parallel and equal in length.

4) One of the properties of a parallelogram states that when two parallel lines are cut by a transversal, alternate interior angles are congruent.

5) It can be seen from the question that △EKF≅△GKH as a result of congruence Postulate.

And the CPCTC proves,

EK ≅ GK

FK ≅ HK

CPCTC means Corresponding Parts of Congruent Triangles are Congruent.

When you have two triangles that have been proven as congruent, then each part of one triangle is equal in size and shape to the corresponding part in the other triangle.

5 0

4 years ago

1. The largest of 2 integers is one more than

Aleks [24]

The larger integer is 28.

I'm first going to call these 2 integers n and m, where n is the larger and m is the smaller. We can now write equations based on the information they gave us:

(equation 1) n + m = 37, which tells us that the sum of the integers is 37

(equation 2) n = 3m + 1, which tells us that the larger integer is one more than 3 times the smaller.

Now we can simultaneously solve these equations, and I'm going to do this by substituting in equation 2 into equation 1:

n + m = 37

(3m + 1) + m = 37

4m + 1 = 37

- 1

4m = 364

÷ 4

m = 9

Now that we know the smaller integer is 9, we can find the larger by using equation 1:

n + m = 37

n + 9 = 37

- 9

n = 28

I hope this helps!

5 0

3 years ago

the science department buys the equipment shown in the table they bought all three items this year and how many years do they ha

mel-nik [20]

Given that t<span>he science department buys the equipment shown in the table below.

Item                      Time Bought
Microscopes          every 5 years
Safety goggles      every 4 years
Test tubes             every 2 years

Given that they bought all three items this year. The number of years it will take for them to buy all three items again in the same year is given by the LCM of 5, 4, and 2.

5 = 1 x 5
4 = 1 x 2 x 2
2 = 1 x 2

LCM = 1 x 2 x 2 x 5 = 20.

Therefore, they will buy all three items again in 20 years.
</span>

6 0

3 years ago