There are 451 children in lias write number greater than 451

If m∠DEF = 117°, find the value of x

ollegr [7]

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

4 0

2 years ago

Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.

ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is 20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0

2 years ago

You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the gard

S_A_V [24]

Answer:

Area of the garden = 16 $\sqrt{3}$ ft²

Step-by-step explanation:

Given:

Base of garden = 8 Ft

Find:

Area of the garden = ?

First, we have to find height of the triangle.

$Height = \sqrt{8^2-4^2}\\\\Height = \sqrt{64-16}\\\\Height = \sqrt{48}\\\\Height = 4\sqrt{3}\\$

Computation of area of the garden:

Area of the garden = 1/2 × b × h

Area of the garden = 1/2 × 8 × 4 $\sqrt{3}$

Area of the garden = 16 $\sqrt{3}$ ft²

4 0

2 years ago

A piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. Express the total amount

posledela

13x plus 27 is the algebraic expression.

4 0

2 years ago

Read 2 more answers

Hailey paid $13\$13 $13 dollar sign, 13 for 137 kg1\dfrac3{7} \text{ kg} 1 7 3 kg 1, start fraction, 3, divided by, 7, end fra

Colt1911 [192]

Answer:

$3.90 was the cost of salami per kilogram.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

$Hailey\ paid\ \$13\ for\ 1\ 3/7\ kg\ of\ sliced\ salami.\ \\What\ was\ the\ cost\ per\ kilogram\ of\ salami?$

Now, to find the cost of salami per kilogram.

Cost of $1\frac{3}{7}$ kilogram of sliced salami = $13.

Now, to get the cost of salami per kilogram we use unitary method:

If, the cost of $\frac{10}{3}$ kilogram of salami = $13.

Then, the cost of 1 kilogram of salami = $\frac{13}{\frac{10}{3}}$

$=\frac{13}{10}\times 3$

$=\frac{39}{10}$

$=\$3.90.$

Therefore, $3.90 was the cost of salami per kilogram.

8 0

2 years ago