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Anna11 [10]
3 years ago
5

Need help picture is displayed

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

x= 40°

Step-by-step explanation:

Please see attached picture for full solution.

Key concepts:

- Corresponding angles are equal to each other

- The sum of the angles in a triangle add up to 180°

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Simplify the expression of (7 – c )(–1)
Ivan
Expand out, this literally just wants you to multiply everything by -1.
so 7*-1 = -7
-c*-1 = c 
thus putting them together to get -7+c which is just c-7 
6 0
3 years ago
A line passes through the point (6, 7) and has a slope of 4.
8_murik_8 [283]

Answer:

y = 4x - 17

Step-by-step explanation:

we can use the equation y = mx + b

where m is the slope.

now we want to find the value of b.

so

7 = 24 + b

b= -17

so the answer is

y = 4x -17

6 0
2 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 1:2 If A is at (6,3) and B is at (-1,2), what are
Maksim231197 [3]

Answer:

The coordinates of C is (-8,1)

Step-by-step explanation:

Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.

Now let's assume the coordinates of C is (x,y).

To get it's coordinates, we use the section formula:

(x,y)= (\frac{mx + nx_{1}}{m + n} , \frac{my + ny_{1}}{m + n})

Where (m,n) is the (AB, BC)

Therefore we have

(-1,2) = (\frac{1\times x + 1\times6}{1 + 1} , \frac{1\times y + 1\times3}{1 + 1})

This gives:

(-1,2) = (\frac{x + 6}{2} , \frac{y + 3}{2})

-1 =( \frac{x + 6}{2} and 2 = \frac{y + 3}{2})

From there x = -8 and y = 1

Therefore the coordinates of C is (-8, 1).

7 0
3 years ago
Solve each system of equations by substitution. <br> 2x + 2y = 3 x - 4y = -1
Shtirlitz [24]

Step-by-step explanation:

2x + 2y = 3 ( x2 for everything in the equation)

x - 4y = -1

4x+ 4y = 6

x - 4y = -1

Add the 1st line to the 2nd line to get rid of the y:

5x = 5

x - 4y = -1  ( you can pick any line from this system to be the second equation in this step, you can put 2x + 2y = 3 or 4x+ 4y = 6, anything above this step, but to make it simple chose the one you think is the easiest)

Solve for x, then plug the x value into the 2nd equation

x = 1

1 - 4y = -1

x = 1

-4y = -2 =) y = 1/2

x = 1

y= 1/2

4 0
3 years ago
A quality control engineer tests the quality of produced computers. Suppose that 5% of computers have defects and defects occur
gogolik [260]

Answer:

*(0.168) 1*.75-9386

2865

7 0
3 years ago
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