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3 years ago

Trying to estimate the numbers 286,174+35,252+30,796 to see if my answers are reasonable when the numbers are all added up

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

It could be about 370,000

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Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJ

dolphi86 [110]

Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.

SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.

For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:

Slope of KL:

slope = $\frac{y_{K} - y_{L} }{x_{K} - x_{L} }$

slope = $\frac{3-1}{2-4}$

slope = -1

Slope of MN:

slope = $\frac{y_{N} - y_{M} }{x_{N} - x_{M} }$

slope = $\frac{1-5}{7-3}$

slope = -1

Since the slopes of KL and MN are the same and the angle is congruent, we can conclude that ΔJKL~ΔJMN.

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2 years ago

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Leviafan [203]

Answer:

cousin: m-3

uncle: 5m

together: 6m-3

Step-by-step explanation:

if her cousin is 3 years younger, they would be m-3. since their uncle is her age times 5, he would be 5m. add those and you get 5m+m-3. combine the m's (and get 6m), then add the -3 to get 6m-3

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3 years ago

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Step-by-step explanation:

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3 years ago

Rewrite each equation in slope-intercept form. x=4y+2

Serhud [2]

Answer:

y=1/4x-1/2

Step-by-step explanation:

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