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Alex73 [517]
3 years ago
8

Name an example of an acute angle, right angle, and straight angle according to their angle measures

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Acute: anything less than 90 but greater than 0

so, m<CAD


right: angles at exactly 90 degrees, so m<AEC,

and obtuse angles are anything greater than 90 but less than 180 degrees,

so CDA (you can tell by the picture that it is bigger than 90- 90 degrees is exactly perpendicular)

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The cost to repair linda's car is $500, including parts and labor. the cost of parts is $140. if the cost of labor is $40 per ho
Mkey [24]
500=140+40h
minus 140 both sides
360=40h
divide y 40
9=h
9 hours
5 0
3 years ago
Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

3 0
2 years ago
A commuter train travels 65 kilometers in 27 minutes. What is it’s speed in kilometers per hour?
Inessa05 [86]

Answer:

Per hour: 2.40740740741

Step-by-step explanation:

you have to divided 65 and 27 so

65/27

which is 2.40740740741

7 0
3 years ago
Use the Law of Sines to find the length of AC
ddd [48]
<h3>Answer:  30.78181 meters</h3>

The value is approximate. Round that however you need to.

========================================================

Explanation:

  • lowercase a = side opposite angle uppercase A
  • lowercase b = side opposite angle uppercase B
  • b = AC

Using the law of sines, we can say:

a/sin(A) = b/sin(B)

45/sin(30) = b/sin(20)

b/sin(20) = 45/sin(30)

b = sin(20)*45/sin(30)

b = 30.78181 approximately

You'll need to make sure your calculator is in degree mode.

3 0
2 years ago
Solve the following equation for x.<br><br> 12x^2-36x=0
OlgaM077 [116]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve for x ~

\qquad \sf  \dashrightarrow \:12 {x}^{2}  - 36x = 0

\qquad \sf  \dashrightarrow \:12 x({x}^{}  - 3) = 0

\qquad \sf  \dashrightarrow \:12x = 0 \:  \: or \:  \: x - 3 = 0

\qquad \sf  \dashrightarrow \:x = 0 \:  \: or \:  \: x = 3

Therefore, the possible values of x are 0 and 3

6 0
2 years ago
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