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Ad libitum [116K]
3 years ago
14

in abc the measure of angle a is 2x+3, the measure of b is 4x+2, the measure of c is 2x-1. What are the measures of the angles?

Mathematics
1 answer:
Mama L [17]3 years ago
5 0
The measures of the angles in a triangle add up to 180°.
2x+3+4x+2+2x-1=180 \\
8x+4=180 \ \ \ |-4 \\
8x=176 \ \ \ |\div 8 \\
x=22 \\ \\
2x+3=2 \times 22+3=44+3=47 \\
4x+2=4 \times 22+2=88+2=90 \\
2x-1=2 \times 22-1=44-1=43

The measures of the angles are 43°, 47° and 90°.
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Find the perimeter of the window to the nearest hundredth.<br><br> also how do you do it?
k0ka [10]

  • <em>I am assuming the picture is of a stained glass window in the shape of a semicircle</em>.

Answer: 7.71 feet.

Step-by-step explanation: <em>The formula for finding the circumference of a circle is \frac{1}{2} π × d + d.</em>

The diameter is 3 feet. Substitute this into the equation:

\frac{1}{2} π × 3 + 3.

Solve -

3.14 × 3 = 9.42

\frac{1}{2} of 9.42 = 4.71

4.71+3 = 7.71

Round -

The answer is already rounded.

Hope this helped!~

6 0
4 years ago
Simplify the rational Expression <br>​
qaws [65]

Answer:

\frac{x^2+2x}{x-3}

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

\frac{x^2+2x}{x-3}

4 0
3 years ago
What is the slope of the line having equation ny+mx+p=0
Jobisdone [24]

Answer:

Bakugou

Step-by-step explanation:

4 0
2 years ago
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
PIT_PIT [208]

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

7 0
3 years ago
This is my last question i swear pls help
Vedmedyk [2.9K]

Answer:

To find a

sin 30=a/6in

1/2=a/6in

2a=6in

a=6in/2

a=3in

To find b

cos 30=b/6in

/3/2=b/6in

2b=/3*6in

b=2/3(two radical three)

I don't get the radical sign so I use / sign on the last 3 steps on the second

8 0
2 years ago
Read 2 more answers
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