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Evgesh-ka [11]
3 years ago
15

2 triangles are connected a common side. The length of one side is 2 x + 3. Its corresponding side on the second triangle is 9.

The length of another side is y minus 4. Its corresponding side on the second triangle is 7. Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent? x = 3, y = 11 x = 5, y = 5 x = 7, y = 9 x = 9, y = 7
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

x = 3, y = 11

Step-by-step explanation:

SSS for congruent

2x+3 = 9

x = 3

y-4 = 7

y = 11

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An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have
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Answer:

[P, V1, V2]

[P, V1, V3]

[P, V2, V3]

Step-by-step explanation:

From the question, the executive board has 4 persons.

P = president

V1 = vice president 1

V2 = vice president 2

V3 = vice president 3

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3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Bad White [126]

Answer:

y = -\frac{2}{5} x-6

Step-by-step explanation:

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m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\  

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2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6

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