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3 years ago

What is the greatest common factor of 16,32, and 44?

Mathematics

1 answer:

liubo4ka [24]3 years ago

4 0

The greatest common factor of the three numbers is 4

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In the figure above line m is parallel to line n.

enot [183]

Given:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

Value of x:

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

$\angle 1+\angle 2=180^{\circ}$

Substituting the measures of ∠1 and ∠2, we get;

$4x+15+9x+35=180$

$13x+50=180$

$13x=130$

$x=10$

Thus, the value of x is 10.

Measure of ∠1:

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

$\angle 1 =4(10)+15$

$=40+15$

$\angle 1=55^{\circ}$

Thus, the measure of ∠1 is 55°

7 0

3 years ago

Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i

zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

$y\leq 3x+1$ ----> inequality A

The solution of the inequality A is the shaded area below the solid line $y=3x+1$

The slope of the solid line is 3

The point (1,3) is a solution of inequality A (lie in the shaded area of the solution set)

$y\geq -x+2$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-x+2$

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

Verify each statement

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0

3 years ago

Read 2 more answers

What is the greatest common factor (GCF) of 48 and 56? A. 168 B. 8 C. 4 D. 336

Sergio039 [100]

Answer:

B. 8

Step-by-step explanation:

48/8=6

56/8=7

7 0

3 years ago

Read 2 more answers

What would x equal( rounded to the nearest tenth)

masya89 [10]

You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km

5 0

3 years ago

Read 2 more answers

Word form for 10 times 10 times 10 times 10 times 10

Volgvan

Ten to the power of five.

4 0

3 years ago

Read 2 more answers