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galina1969 [7]
3 years ago
5

Look at the figures. How can you prove the triangles are congruent?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

It is congruent. They both are 90 degrees same length and width

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Explain the steps you would need to take to find slope from data in a table.
Papessa [141]

Answer:

you will need to find the difference (subtract) between two of the y points then do the same for the x points and put to difference of y on top of x and there is you slope using a graph( or if eaven, will come put as a whole number

3 0
3 years ago
Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4). A) y = 2x + 4 B) y = 2x - 8 C
Lynna [10]

Answer:

\large\boxed{D.\ y=-\dfrac{1}{2}x+7}

Step-by-step explanation:

\text{Let}\\k:\ A_1x+B_1=C_1\\\\l:\ A_2x+B_2y=C_2\\\\\text{then}\\\\k\ \parallel\ l\iff A_1=A_2\ \wedge\ B_1=B_2\\==========================

\text{We have the equation:}\ 2x+4y=6\\\\\text{Therefore the equation of a parallel line is:}\ 2x+4y=C\\\\\text{Put the coordinates of the given point to the equation and solve for}\ C:\\\\(6,\ 4)\to x=6,\ y=4\\\\C=2(6)+4(4)\\C=12+16\\C=28\\\\\text{The equation in the standard form:}\\\\2x+4y=28

\text{Convert to the slope-intercept form}\ y=mx+b:\\\\2x+4y=28\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\4y=-2x+28\qquad\text{divide both sides by 4}\\\\y=-\dfrac{2}{4}x+\dfrac{28}{4}\\\\y=-\dfrac{1}{2}x+7

8 0
4 years ago
Solve the division problem round answer to nearest hundredth 9.2/52.063
Svetach [21]
<span>52.063/ 9.2=5.6590= 5.66</span>
8 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
sweet-ann [11.9K]

Answer:

A, -1/13

Step-by-step explanation:

slope = rise / run

(12-7)/(39-12)

5/-65

simplify: 1/-13

3 0
3 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
wariber [46]

Answer:

Step-by-step explanation:

Given that :

population mean μ = 120

sample size n = 37

sample mean x = 111

standard deviation = 21

The null hypothesis and the alternative hypothesis can be computed as:

The null hypothesis:

\mathbf{ H_o: \mu = 120 }

The alternative hypothesis:

\mathbf{ H_o: \mu \neq 120 }

Since this test is two-tailed,  the value for the test statistics can be computed as:

z = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{111 - 120}{\dfrac{21}{\sqrt{37}}}

z = \dfrac{-9}{\dfrac{21}{6.08}}

z = -2.605

z = -2.61

Since this is a two-tailed test

P-value = 2(z < -2.61)

From the z table;

P-value = 2(0.0045)

P -value = 0.009

Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance

Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.

7 0
4 years ago
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