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2 years ago

If JK and LM are congruent and parallel, then JKL and MLK are congruent.

Mathematics

1 answer:

viktelen [127]2 years ago

3 0

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

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Frans filing cabinet is 6 feet tall 1 1/3 feet wide and 3 feet deep. She plans to paint all sides except the bottom of the cabin

aleksley [76]

Well you are look at a 3d image here
so if area is length times width then we need to find the area of every side of the cabinet and add it up
11/3 on the calculator is 3.66666667 sooooo....
top: 3 x 11/3 = 11
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side 2: 3 x 6 = 18
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back: 6 x 11/3 = 22
so we have all of our measurements:)
now we just add them up together.
11+18+18+22+22= 91!!
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2 years ago

In △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP . Find the area of △ABC if the area of △BMP

ddd [48]

M is mid point of CP. M will divide the $\Delta$ BPC in two equal parts $\Delta$ BMC and $\Delta$ BMP.

Area of $\Delta$ BMP is equal to 21m^2

Since, $\Delta$ BMC = $\Delta$ BMP

Area of $\Delta$ BPC = Area of $\Delta$ BMC +Area of $\Delta$ BMP = 21 + 21 = 42m^2

and since ratio of AP:BP =1:3 so the area of $\Delta$ BMP will be 1/3 of Area of $\Delta$ ABC

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1 year ago

Read 2 more answers

"Consider the probability distribution of X, where X is the number of job applications completed by a college senior through the

Citrus2011 [14]

Answer:

Option b

Step-by-step explanation:

Given that the probability distribution of X, where X is the number of job applications completed by a college senior through the school’s career center.

Expected observed Diff

x p(x) p(x)*1000

0 0.002 2

1 0.011 11 14 -3

2 0.115 115 15 100

3 0.123 123 130 -7

4 0.144 144

5 0.189 189

6 0.238 238

7 0.178 178

1 1000

We find that there is a large difference in 2 job application

Hence option b is right.

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1 year ago

The sales of a grocery store had an average of $7,000 per day. The store introduced several advertising campaigns in order to in

ipn [44]

Answer:

Null hypothesis: ∪ = $7,000

Step-by-step explanation:

The null hypothesis is a general statement that there is no relationship between two measured instances or no association among groups.

In this case, the sales of a grocery store had an average of $7,000 per day is the null hypothesis. Then the research was carried out to test for the effectiveness of the advertising campaigns in increasing sales.

Thus, this is the alternative hypothesis. The researchers wish to test against the null with regards to the involvement of the advertising campaigns.

Thus, the null hypothesis is just the average sales without the advertising campaigns which is

Null hypothesis: ∪ = $7,000

Alternative hypothesis: ∪ ≠ $7,000

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2 years ago

Mike watches a caterpillar climbing on a tree trunk he writes the expression -5/8-(-1/8-1/2) to show the change in feet of the c

guapka [62]

Answer:

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