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2 years ago

What is the value of x?

Mathematics

2 answers:

Mama L [17]2 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

72/9 = 56/(3x - 20)
8 = 56/(3x - 20)
3x - 20 = 56/8
3x - 20 = 7
3x = 27
x = 9

AlekseyPX2 years ago

4 0

Answer:

x = 9 cm

create proportional equation:

$\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}$

$\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}$

$\sf 9(3x+36) = 81(3x-20)$

$\sf 27x+324 = 243x-1620$

$\sf 27x-243x=-1620-324$

$\sf -216x=-1944$

$\sf x = 9$

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Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H

ikadub [295]

Answer:

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = $\frac{1}{2}$ yard

Length of ribbon the rest of ribbon is to be divided = $\frac{1}{4}$ yard

To find:

The number of ribbons of length $\frac{1}{4}$ yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = $1-\frac{1}{2} =\frac{1}{2}$ yard

Now, number of ribbon of length $\frac{1}{4}$ yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

$\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2$

3 0

3 years ago

If Mr. Callahan expects to sell 150 bunches of flowers next week, which is the best prediction of how many bunches of daffodils

djyliett [7]

28, because 150/7 is about 21 and 28 is the closest answer. I would need more info for it to be a definite answer but that is what I would choose. Hope I helped!

7 0

2 years ago

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melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

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2 years ago

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vodomira [7]

Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

7 0

2 years ago

Read 2 more answers

Can someone please help me

Ainat [17]

Answer:

Step-by-step explanation:

If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

$\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{x}{12}$

Let's use the second ratio:

$\dfrac{25}{15}=\dfrac{x}{12}$

Multiply both sides by 12:

$\dfrac{25\cdot 12}{15}=x \\\\x=20$

Hope this helps!

5 0

2 years ago