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Triss [41]
3 years ago
9

Angle 1 and angle 2 form a linear pair. If the measure of angle 1 = (5x+9)º and

Mathematics
1 answer:
True [87]3 years ago
8 0

- linear pairs are supplementary, meaning they add up to 180°

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 160

x = 20

- now plug in.

angle 1: 5(20) + 9 = 100 + 9 = 109°

angle 2: 3(20) + 11 = 60 + 11 = 71°

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If the lengths of the legs of a right triangle are 3 and 5, what is the length of the hypotenuse?
murzikaleks [220]

Answer:

A. ✓34

Step-by-step explanation:

The lengths of the legs of a right triangle are 3 and 5, the length of the hypotenuse will be:

= (✓(3² + 5²)

= ✓(9 + 25)

= ✓34

3 0
1 year ago
Can you please help me
Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4} ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means \frac{L_{1} }{L_{2}} = \frac{W_{1} }{W_{2}} , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L_{1} = 14 and W_{1} = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L_{2} = 10.5 and W_{2} = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

    corresponding dimensions in the two rectangles (image/pre-image)

∵ \frac{L_{2} }{L_{1}} = \frac{10.5}{14} = \frac{3}{4}

∵ \frac{W_{2} }{W_{1}} = \frac{4.5}{6} = \frac{3}{4}

∴ The scale factor for the dilation is  \frac{3}{4}

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4}

6 0
3 years ago
Help on section A :)
N76 [4]
Hey there!

To start, the domain of a function is the set of x values a function has, in other words, the values the function has on the x-axis.

In this function, the graph appears to have a function going on infinitely in both directions (left and right). Because of this, your domain in interval notation would be (-∞,∞) 

**Your interval notation would be in parenthesis because you cannot include negative or positive infinity as one of your values since while your graph is approaching these values, it never really reaches it.

Hope this helps and have a wonderful day! :)
5 0
3 years ago
Solve<br> The equation<br> X=-3x +20
Sloan [31]
X=-3x+20
Add 3x to both sides to move the -3x over
4x=20
Then do 20 divided by 4
X=5
8 0
2 years ago
Read 2 more answers
Write the expressions that represents 7 subtracted from 8n
marissa [1.9K]
The expression is: 8n-7
6 0
3 years ago
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