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3 years ago

A community needs to raise at least 5,000

1 answer:

6 0

A community needs to raise at least $5000 to build a new skateboarding park. They are selling backpacks for $25 each to raise the money. Write and solve an inequality to determine the minimum number of backpacks they need to sell in order to reach this goal.

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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.

Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF ...................CPCTC

Substituting the values we get

$4x-2=x^{2}-7\\x^{2}-4x-5=0$

Now By Factorizing we get

$x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5$

Therefore the value of x is 5.

8 0

3 years ago

When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 2?

vlabodo [156]

That would be 4/6, or 2/3 simplified. As a percent, that would be 66%.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

4 0

2 years ago

Read 2 more answers

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point

Step2247 [10]

Complete question :

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m

What is the length of the pillow?

Answer:

1.4 m

Step-by-step explanation:

The volume of wedge is given by:

V = Area of triangle * length

Area of triangle = 1/2 * base * height

Volume of wedge = 1/2 * base * height * length

Volume of wedge = 0.35m³

0.35 = 0.5 * 0.5 * 1 * length

0.35 = 0.25 * length

Length = 0.35 / 0.25

Length = 1.4 m

5 0

2 years ago

José collects stamps. He has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many used stamps does he have?

jenyasd209 [6]

Answer:

José has 49 used stamps

Step-by-step explanation:

7 used stamps for every 4 new stamps

To solve this type of problem, we can use a ratio

7 : 4 ratio

He has 28 new stamps

7 : 4 = x : 28

Ratios can be written as fractions

$\frac{7}{4} = \frac{x}{28}$

Cross multiply

4x = 7(28) = 196

Divide by 4 on both sides

x = 49

Hope this helps :)

3 0

3 years ago

(Label each one)

shutvik [7]

1,3) no solution

2,4,5,6,7) solution

5 0

3 years ago