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Mamont248 [21]
3 years ago
11

In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

No

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

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Calculate gross pay for 42 hours worked at $8.00 per hour.
ololo11 [35]

Answer:

$336

Step-by-step explanation:

Gross Pay is pay before taxes. We get that by multiplying number of hours worked with hourly rate.

Net Pay is the gross pay LESS taxes. We get that by subtracting the tax from gross pay.

Here, we just need gross pay. We have:

Hourly Rate = 8

Hours Worked = 42

Gross Pay = Hourly Rate * Hours Worked = 8 * 42 = 336

Hence, Gross Pay = $336

6 0
3 years ago
31. The square and the equilateral triangle
Tatiana [17]

Answer:

equate

Step-by-step explanation:

4(2x + 5) = 3(2x + 8)

8x + 20 = 6x + 24

2x = 4

x = 2

substitute back in to find side measures and perimeters

3 0
3 years ago
The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the
den301095 [7]
Multiply the  wieghts by the cost per pound then add them . this = $14

3.75k + 2.25p = 14
6 0
3 years ago
Read 2 more answers
What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?
Wewaii [24]
<span>(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)
</span>14.2a + 9.8b - 13.1b + 0.2a - 3.7a - 4.8b
(14.2a + 0.2a - 3.7a) + (9.8b - 13.1b - 4.8b)
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6 0
3 years ago
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I will mark brainliest!!
sladkih [1.3K]

Answer:

C. Events E and A are independent

Step-by-step explanation:

we will verify each options

(a)

We can use independent events formula

P(B∩C)=P(B)*P(C)

we are given

P(B)=0.4

P(C)=0.25

P(B∩C)=0.05

now, we can plug these values into formula

and we get

0.05=0.4*0.25

0.05=0.1

we can see that left side is not equal to right side

so, this is FALSE

(b)

We can use independent events formula

P(D∩A)=P(D)*P(A)

we are given

P(D)=0.25

P(A)=0.6

P(D∩A)=0.1

now, we can plug these values into formula

and we get

0.1=0.25*0.6

0.1=0.15

we can see that left side is not equal to right side

so, this is FALSE

(c)

We can use independent events formula

P(E∩A)=P(E)*P(A)

we are given

P(E)=0.5

P(A)=0.6

P(E∩A)=0.3

now, we can plug these values into formula

and we get

0.3=0.5*0.6

0.3=0.3

we can see that both sides are equal

so, this is TRUE

(d)

We can use independent events formula

P(D∩B)=P(D)*P(B)

we are given

P(D)=0.25

P(B)=0.4

P(D∩A)=0.15

now, we can plug these values into formula

and we get

0.15=0.25*0.4

0.15=0.1

we can see that left side is not equal to right side

so, this is FALSE

5 0
4 years ago
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