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3 years ago

15

Find the missing angle measure. 1.)35° 2.)40° 3.)35° 4.)45° 5.)50°

1 answer:

Wittaler [7]3 years ago

6 0

Answer:

1) 35

Step-by-step explanation:

1. First, you have to realize that a straight line is 180 degrees.

Why is this important to know? Well you know that all angles of a triangle added up together HAS to equal 180, it'll be a straight line

2. Add 40 and 105, this gives you 145.

3. Subtract 145 from 180, and you should get 35, which is x.

You can check this by adding 40, 105, and 35 together.

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On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago

Solve 6/×-3 =x/3

Eduardwww [97]

Answer:

X = -3. non-extraneous

Step-by-step explanation:

The given equation is $\frac{6}{x-3} =\frac{x}{3}$

We cross multiply to get:

$6*3=x(x-3)$

Expand and multiply.

$18=x^2-3x$

$x^2-3x-18=0$

We factor to obtain:

$(x-6)(x+3)=0$

$x=-3,x=6$

Checking for extraneous solutions

Substitute x=-3 $\frac{6}{-3-3} =\frac{-3}{3}$

$\frac{6}{-6} =\frac{-3}{3}$

$-1=-1$

$1=1$ .....Non-extraneous

Checking for x=6

$\frac{6}{6-3} =\frac{6}{3}$

$\frac{6}{3} =\frac{6}{3}$

$2=2$ ....Non-extraneous

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Answer:

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Step-by-step explanation:

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