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3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

Akimi4 [234]3 years ago

3 0

X=75 Hope the answer worked

valentinak56 [21]3 years ago

3 0

Answer:

$\angle X = 60\°$

Step-by-step explanation:

By given we know

$\angle Z = 2x-4$

$\angle Y = 5y$

Also, we know that the given figure is an equilateral triangle by definition, because all sides are equal.

So, that means all three angles are equal by the theorem of equilateral triangles.

$\angle Z = \angle Y = \angle X\\$

Having said that, by sum of angles, we know that all three internal angles must sum 180°. But, in case of an equilateral triangle, all angles are equal to 60°, because 180° has to be divided equally by three.

Thereofore,

$\angle X = 60\°$

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4 0

2 years ago

Read 2 more answers

David, Egil and Frances share money in the ratio 2:7:9. Frances gets ?80 more than David. Explain how you know Egil gets ?80.

Natalija [7]

Step-by-step explanation:

We have been given that David, Egil and Frances share money in the ratio 2:7:9.

Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.

We are told that Frances gets $80 more than David. So we can write this information in an equation as:

$9x=2x+80$

Now let us solve for x.

$9x-2x=80$

$7x=80$

$x=\frac{80}{7}$

Now let us substitute $x=\frac{80}{7}$ in 7x (amount of money that Egil gets).

$\text{ Amount of money that Egil will get}=7\cdot \frac{80}{7}$

Upon cancelling out 7 from numerator and denominator we will get,

$\text{ Amount of money that Egil will get}=80$

Therefore, Egil will get $80.

6 0

3 years ago

Graph the system of equations on your graph paper to answer the question.

scZoUnD [109]

y=x-4
y=-x+6
---------------------
Substitute x - 4 for y in y=-x+6
x-4=-x+6
--------------------------------
Add X on each side
x-4+x=-x+6+x
2x - 4 = 6
--------------------------------------
Add 4 on each side
2x-4+4=6+4
2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=x-4
y = 5 - 4
y = 1
-----------------------------------------------------
Your answers are Y = 1 and X = 5

8 0

3 years ago

What is 40.06 divided by 5.23 ? I need a tutor ‍♂️

Mekhanik [1.2K]

Rounded answer is 7.66

Regular answer is 7.65966

5 0

3 years ago

At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many

Juliette [100K]

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

2 : 7

×50 ×50

To get:

100:350 ⇒ This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

Answer: 100 boys at the concert

I hope you understand and that this helps with your question! :)

7 0

2 years ago