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Vikentia [17]
3 years ago
7

Find the values of x and y.

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

C, (x = 100, y = 10)

Step-by-step explanation:

hi again,

(2x - 70) = (x + 30), by the Alternate Exterior Angles

x - 70 = 30

<em>x = 100</em>

<em />

(2x - 70) + 5y = 180, by the Linear Pair Theorem

2(100) - 70 + 5y = 180

200 - 70 + 5y = 180

130 + 5y = 180

5y = 50

<em>y = 10</em>

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What is the equation in point-slope form if a line that passes through points (3,-5) and (-8,4)?
nignag [31]

The slope-point formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have (3, -5) and (-8, 4).

Substitute:

m=\dfrac{4-(-5)}{-8-3}=\dfrac{9}{-11}=-\dfrac{9}{11}\\\\y-4=-\dfrac{9}{11}(x-(-8))\\\\y-4=-\dfrac{9}{11}(x+8)\to C)

3 0
3 years ago
How many unique triangles can be made when one angle measures 90 degrees and another angle is half that measure?
goldenfox [79]
I believe only two but im not really sure on that
7 0
3 years ago
Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
Read 2 more answers
Answer as many as you can please (write in slope-intercept form)
RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{1-13}{3-(-6)} =\frac{-12}{9}

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

y=-\frac{12}{9} x+b

3=-\frac{12}{9}(1)+b

-\frac{9}{4} =b

The slope-intercept form is y=-\frac{12}{9} -\frac{9}{4}.

For the third one, we are already given the slope, so all we have to do is find b.

y=-\frac{1}{2}x +b

-7=-\frac{1}{2} (-4)+b

-7=2+b

-9=b

The slope-intercept form is y=-\frac{1}{2} x-9.

For the last one, we need to first find the slope using m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

m=\frac{-8-2}{3-1}=\frac{-10}{2}  =-5

Now that we have our slope, we can plug it into our slope-intercept form and find b.

y=-5x+b

2=-5(1)+b

2=-5+b

7=b

Our slope-intercept form is y=-5x+7.

4 0
3 years ago
The ratio of sixth graders to seventh graders at the school dance is 2 to 3.
Inessa [10]

Answer:

18

Step-by-step explanation:

2:3 x 9

18:27

18 + 27 = 45

6 0
3 years ago
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