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GaryK [48]
3 years ago
15

How do you solve this problem and it is geometry?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0
The inside angle where that is not labelled you can find as angles on a straight line = 180°. From this you can find that the angle is 180-40=140°. This shape is a pentagon so the sum of the interior angles is 180(5-2)=540°. So this means 68+124+76+140+x=540. Rearrange for x to get x=132°.
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Sylvie finds the solution to the system of equations by graphing.
Softa [21]

Answer:

The correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Step-by-step explanation:

We are given the system of equations as:

1.\ y=-\dfrac{2}{3}x-1\\2.\ y=\dfrac{2}{3}x+1\\

<em>We have 2 equations here with variables x and y so we use coordinate grid with 2 lines having axis as x and y.</em>

<em></em>

As per the given options, <em>we can see that coordinate of one point has y = 0 and other point has x = 0.</em>

So, let us put y = 0 and x =0, in both the equations one by one and have a look at the value of x coordinate.

y = 0, Equation (1) becomes:

0=-\dfrac{2}{3}x-1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5

So, one coordinate is (-1.5, 0)

x = 0, Equation (1) becomes:

y=-\dfrac{2}{3}\times 0-1\\\Rightarrow y =-1

So, other coordinate is (0, -1)

And the point (3, -3) also satisfies the given equation.

y = 0, Equation (2) becomes:

0=\dfrac{2}{3}x+1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5

So, one coordinate is (-1.5, 0)

x = 0, Equation (2) becomes:

y=\dfrac{2}{3}\times 0+1\\\Rightarrow y =1

So, other coordinate is (0, 1)

And the point (3, 3) also satisfies the given equation.

Please refer to the <em>attached graph and points on lines</em>.

So, correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

3 0
3 years ago
Read 2 more answers
Find (12y-1) + (-10y+7)
dezoksy [38]

Answer:

2y +6

Step-by-step explanation:

(12y-1) + (-10y+7)

We need to combine like terms

12y - 10y  + -1 +7

2y +6

4 0
3 years ago
2t + 1 + 6 + 4t = 55<br> show your work
Ivan
Combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8
3 0
3 years ago
Read 2 more answers
Determine the equation of the exponantial function with a common ratio of 2, a horizontal asymptote at y=4 and passin through th
777dan777 [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
ΔRST and ΔXYZ are equilateral triangles. The ratio of the perimeter of ΔRST to the perimeter of ΔXYZ is 1 to 3. The area of ΔRST
Vanyuwa [196]

Answer:

97.425

Step-by-step explanation:

C▲RST/C▲XYZ=1/3

S▲RST/S▲XYZ=1/9

The area of ▲RST is 10.825

SO the are of ▲XYZ is 10.825*9=97.425

3 0
4 years ago
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