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Firdavs [7]
3 years ago
10

Y= 5x-5 graphed on the coordine plane

Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

Step-by-step explanation:

Choose some values of x to plot. I usually start with zero:

5×0 + 5 = 5

Plot the point (0,5).

Then use x=-1, because it is the x- intercept:

5×(-1) + 5 = 0

Plot the point (-1,0).

Draw the line through both points.

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The condition_______?proves that ∆ABC and ∆EFG are congruent by the SAS criterion.
snow_lady [41]

Answer:

(1)  D.Angle C is congruent to to Angle F. (2) C. SSS. (3) C. cannot be congruent to.

Step-by-step explanation:

1)

From the given figure it is noticed that

AC=EG

CB=GF

According to SAS postulate,  if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then both triangles are congruent.

The included angles of congruent sides are angle C and angle G.

So, condition "Angle C is congruent to to Angle F"  will prove that the ∆ABC and ∆EFG are congruent by the SAS criterion.

2)

If AB\neq EF

According to SSS postulate,  if all three sides in one triangle are congruent to the corresponding sides in the other.

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore SSS criterion for congruence is violated.

3)

Since two corresponding sides are congruent but third sides of triangles are not congruent, therefore the included angle of congruent sides are different.

\angle C\neq \angle G

Therefore angle C and angle F cannot be congruent to each other.

4 0
3 years ago
Find the equation of the line with Slope = 6 and passing through (5,38). Write your equation in the form y =mx+b
laiz [17]

Hello.

We have:

  • A point that the line passes through
  • The slope of the line

Plug the values into the Point-Slope Formula:

\mathrm{y-y_1=m(x-x_1)}

\mathrm{y-38=6(x-5)}

\mathrm{y-38=6x-30}

\mathrm{y=6x-30+38}

\Large\boxed{\sf{ \ y=6x+8}}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

5 0
2 years ago
Read 2 more answers
Simplify expressions <br> 2a+3+a+4
Norma-Jean [14]
3a plus 7. you group the whole numbers together and than the a's. so 3+4 is 7. 2a + a is 3a.
4 0
3 years ago
Read 2 more answers
Need help with this questions
leva [86]
1. Total
2. Deficit
( hope this helps)
4 0
3 years ago
According to Masterfoods, the company that manufactures M&amp;M’s, 12% of peanut M&amp;M’s are brown, 15% are yellow, 12% are re
Anna35 [415]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

5 0
3 years ago
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