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2 years ago

Find the measure of A.18 B.54 C.36

Mathematics

1 answer:

prisoha [69]2 years ago

7 0

Answer:

[A] 18

Explanation:

[I'm assuming you want us to find the measure of ∠ABC]

∠ABC is a right angle, meaning ∠ABD and ∠DBC added together must equal 90°

2x° + 3x° = 90

2x + 3x = 5x

5x = 90

5x / 5 = 90 / 5

x = 18

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Help? Please?<br> I really suck at geometry

Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

8 0

3 years ago

You earn $20 per hour doing landscaping work. Your total earnings depend on the amount of hours you spend landscaping.

lina2011 [118]

20(x)

x=how many hours worked

6 0

2 years ago

Read 2 more answers

Which expression is equivalent to the perimeter of your the rectangle shown below?

blagie [28]

2(2x + 3) + 2(x=1)
if they give you x just sub in

6 0

2 years ago

How to do graphs of quadratic functions

Anastaziya [24]

Answer:

The Graph of a Quadratic Function

A quadratic function is a polynomial function of degree 2 which can be written in the general form.

Step-by-step explanation:

Example: Graph: f(x)=−x2−2x+3.

Solution:

Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).

f(x)f(0)===−x2−2x+3−(0)2−2(0)+33

The y-intercept is (0,3).

Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.

f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01

Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).

Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.

x====−b2a−(−2)2(−1)2−2−1

Substitute −1 into the original function to find the corresponding y-value.

f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34

The vertex is (−1,4).

Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.

x −2 y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)

Our fifth point is (−2,3).

Step 5: Plot the points and sketch the graph. To recap, the points that we have found are

y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)

Answer:

4 0

2 years ago

Mrs. Larnell is making snacks for a class picnic. She puts 1/4 pounds of apples,1/8 pound of nut mix,and 1/16 pound of chocolate

Tasya [4]

$\frac{1}{4}:\frac{1}{8}:\frac{1}{16}\\\frac{1}{4}*24:\frac{1}{8}*24:\frac{1}{16}*24\\\frac{24}{4}:\frac{24}{8}:\frac{3}{2}\\6:3:1.5\\6+3+1.5=9.5$

9 pounds 8 ounces

6 0

2 years ago