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3 years ago

Triangle ABC is similar to triangle LMN by the similarity postulate

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer:

Same as Angle B. 90 degrees.

Step-by-step explanation:

If triangles are similar then they have the exact same angle measures. Angle m will have the same value as angle B. If angle B's measure is not found, then find it by adding angle A and angle C together and subtract from 180.

The picture is cut off but if A =60 and C=30 then 60+30=90 and 180-90=90. Angle B and M are both 90 degrees.

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If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.

Helen [10]

It depends if its decreasing 25% of the original quantity or decreasing by 25% of the quanity that is after already increasing by 25%.

5 0

3 years ago

University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

vladimir2022 [97]

The confidence interval is
$0.59\pm0.081$

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
$ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081$

This gives us the confidence interval
$0.59\pm0.081$

8 0

3 years ago

What statement are true about this expression 2/3n +58.6

vampirchik [111]

Step-by-step explanation:

perdon no entindo

6 0

3 years ago

Of 340 male and 270 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 180 of the women are

sineoko [7]

Answer:

The correct answer is 0.486.

Step-by-step explanation:

Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610

Number of employees on flex time are 350, out of which 170 are men and 180 are women.

We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.

Favorable outcomes are 170 and total outcome is 350.

Thus the probability is given by $\frac{170}{350}$ = 0.4857≈ 0.486

5 0

3 years ago

Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha

Studentka2010 [4]

Answer:

Container B has smaller surface area.

Step-by-step explanation:

Given:

Container A

Radius = 60/2 = 30 mm

Height = 4 x 60 = 240 mm

Container B

Length = 120

Width = 120

Height = 60

Computation:

Surface area of container A (Cylinder) = 2πr[h+r]

Surface area of container A (Cylinder) = 2[22/7][60][120+60]

Surface area of container A (Cylinder) = 67,885.70 mm² (Approx)

Surface area of container B (Cuboid) = 2[lb+bh+hl]

Surface area of container B (Cuboid) = 2[(14,400)+(7,200)+(7,200)]

Surface area of container B (Cuboid) = 57,600 mm²

Container B has smaller surface area.

8 0

3 years ago