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elena-s [515]
2 years ago
7

You are given a line that has a slope of 4 and passes through the point (3/8, 1/2). Which statements about the equation of the l

ine are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y = 4x - 1.
The point-slope equation is y - 3/8 = 4(x - 1/2).
The Point (3/8, 1/2) corresponds to (x1, y1) in the point-slope form of the equation.
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
3 0

Step-by-step explanation:

the point-slope form is

y - y1 = a(x - x1)

with "a" being the slope, (x1, y1) being a point on the line.

so, we have here

y - 1/2 = 4(x - 3/8)

simplifying this gives us then the slope-intercept form

y = ax + b

with b being the y-intercept.

so, we get

y - 1/2 = 4x - 4×3/8 = 4x - 3/2

y = 4x - 3/2 + 1/2 = 4x - 2/2 = 4x - 1

so,

the first, second and forth statements are true, the third is false.

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What congruence rule does the triangle follow? Please write the congruence statement triangle EFH is congruent to ________?
Yuliya22 [10]

We can see here two triangles, and we can notice the following:

1. Since H is the midpoint of the segment EG, we can say that EH and HG are congruent segments.

2. Since these two triangles, namely, EFH and GFH share the same segment (HF), this side is also congruent to these two triangles.

3. Since EH is congruent to HG, and FH is congruent to itself, then EF is congruent to GF.

4. Angle E is congruent to angle G.

Therefore, we can say that:

Since we have that:

a. EF is congruent to GF

b. EH is congruent to GH

c. Angle E is congruent to angle G

We can conclude that the congruence rule, in this case, is SAS (Side-Angle-Side), because<em> if two sides and the included angle are congruent to the corresponding parts of the other triangle, the triangles are congruent.</em>

<em>We also see that the three sides are congruent (and in this case, we can also conclude that the triangles are congruent by the rule SSS (side-side-side).</em>

Likewise, we can also conclude that the triangle EFH is congruent to triangle GFH.

5 0
1 year ago
5 customers buy 10,15,20,25,30 toffees respectively from 1 shop. But the the person who bought 20 toffees forgot to pay .if the
Mice21 [21]

Answer:

40% profit

Step by step Explanation:

Profit percentage

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0.2 = profit/cost

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Let's assume the cost price of the items is $1 each

Cost price total= $100

Profit made when buyer of 20 toffe didn't say was

0.2=profit/cost

0.2*100 =$20

If the$ 20 paid.

Total profit = $40

So percentage profit now

40/100 * 100 = 40%

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3 years ago
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Answer:

Well all even numbers between 0 and 8 are,

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B. triangle is formed.
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