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2 years ago

Find the slope of the line on the graph.

Mathematics

1 answer:

Delicious77 [7]2 years ago

8 0

The answer would be slope= -5/4

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The triangles below are similar because of the:

STALIN [3.7K]

Answer:

ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

Step-by-step explanation:

SSS Similarity Theorem:

Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.

In ΔABC and ΔXYZ, if $\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ}$ , then △ABC∼△YZX

Here, in ΔABC and ΔXYZ

AB = 9, BC = x , AC = 12

Similarly, XY = 3, YZ = 2, ZX = 4

Here,

$\frac{AB}{XY} = \frac{9}{3} = 3\\\frac{BC}{YZ} = \frac{x}{2} \\\frac{Ac}{Xz} = \frac{12}{4} = 3$

⇒ Corresponding sides are in the ratio of 3, if BC =6 units

Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

8 0

2 years ago

Eight friends are traveling together to the mountains one of them said he would pay for all the gas if they would each pay him b

saw5 [17]

The answer is 24.78 for each friend to pay

8 0

3 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither. Explain.

mina [271]

Answer:

parallel

Step-by-step explanation:

find the slope of each line

Line 1 (5-2)/(-4-2) = 3/-6 =-1/2

Line 2 (-4--9)/(-6-4)= 5/-10 = -1/2

5 0

2 years ago

What quadratic equation could be solved to find any solutions to the system of equations?

Kipish [7]

Answer:

Step-by-step explanation:

x²+7x-11=-5x+6

x²+7x+5x-11-6=0

x²+12x-17=0

$x=\frac{-12\pm \sqrt{12^2-4*1*(-17)} }{2*1} \\=\frac{-12 \pm \sqrt{144+68} }{2} \\=\frac{-12 \pm \sqrt{212}}{2} \\=\frac{-12+2\sqrt{53}}{2}\\=-6 \pm \sqrt{53}$

7 0

2 years ago

How many triangles can be constructed with angles measuring 60°, 60°, and 40°?

aleksandrvk [35]

Answer:

None

Step-by-step explanation:

Because the 3 angles do not add up to 180 degrees.

6 0

2 years ago