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2 years ago

Delta Math:Angle Terminology with Equations

Mathematics

1 answer:

Sphinxa [80]2 years ago

3 0

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

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elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?

tigry1 [53]

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

5 0

3 years ago

find 44% of 8.79. user: find 8% of 2.36. user: darren teaches a class of 25 students. he assigns homework 3 times a week, and ea

Andrews [41]

44% of 8.79 =
0.44 (8.79) = 3.87 (thats rounded)

8% of 2.36 =
0.08 (2.36) = 0.19 (rounded)

25 students, homework 3 times per week, 12 problems each assignment
3(12) = 36 problems per student...36(25) = 900 problems for 25 students.
ur answer is 900

7 0

4 years ago

What is the measure of

andrew-mc [135]

Answer:

60 degree

Step-by-step explanation:

Here all sides of this triangle are equal, which means it is an equilateral triangle.

In an equilateral triangle, all the angles are equal and are 60 degrees to satisfy angle sum property.

7 0

3 years ago

Which line is parallel to the line ‘y = 1/2x + 5’ and passes through the

Softa [21]

Answer:

B. y=1/2+2

Step-by-step explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

4 0

3 years ago

Fill out the information below for the following graph of a quadratic function. Please Help!!

Inessa [10]

Answer:

Please refer to the images attached below.

Step-by-step explanation:

Quadratic Functions are functions of degree 2. The graph of any quadratic function is a parabola that has a vertex and axis of symmetry.

Some Properties of Graph Translations

1. y=a(x-h)^2+ky=a(x−h)

This means that the new function is translated h units to the right and k units going up.

2. y=a(x-h)^2-ky=a(x−h)

−k

This means that the new function is translated h units to the right and k units going down.

3. y=a(x+h)^2+ky=a(x+h)

This means that the new function is translated h units to the left and k units going up.

4. y=a(x+h)^2-ky=a(x+h)

−k

This means that the new function is translated h units to the left and k units going down.

First, let's graph the function y=3x^2+3y=3x

+3 . The vertex is at the point (0,3)(0,3) . Please refer to Figure 1 below.

Now, start from the vertex of the first function, (0,3)(0,3) , as you notice that the function y=3(x-3)^2+1y=3(x−3)

+1 is 3 units translation to right and one unit translation going up. This means that the new vertex is the point (3,1)(3,1) .Please refer to Figure 2.

For the function, y=3(x+3)^2-1y=3(x+3)

−1 , start from the vertex of the first function, (0,3)(0,3) , then make a translation of 3 units to the left and a translation of 1 unit down. This gives us a new vertex of (-1, -3)(−1,−3) . Please refer to Figure 3.

#LetsStudy

To learn more about quadratic functions, go to

https://brainly.ph/question/2436149

https://brainly.ph/question/4568410

https://brainly.ph/question/5982152

Step-by-step explanation:

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6 0

3 years ago