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ValentinkaMS [17]
3 years ago
15

Are the two triangles similar? If so explain why they are

Mathematics
1 answer:
Elden [556K]3 years ago
8 0
Yes, the two triangles are similar.

Similar triangles have equal corresponding angles and proportionate sides.
We can see that the corresponding angles of the two triangles are equal because although the smaller triangle is rotated, the angle measurements of both triangles are 23°, 67°, and 90°.
The corresponding sides are proportionate because they have a set ratio. The sides of the smaller triangle are all 1/4 the length of the corresponding sides of the bigger triangle.
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Lynn used 3/8 cups of flour and 1/3 cup of sugar in a recipe what number is a common denominator for 3/8 and 1/3
DIA [1.3K]
The common denominator for 3/8 and 1/3 is 24.
5 0
3 years ago
Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their s
igor_vitrenko [27]

Answer:

The correct option is

d) (179.20, 212.716)

Step-by-step explanation:

We have out of a random sample of 1000, 345 carried more than a bag

Therefore in the question our X = 345 passengers carry more than a piece of luggage

n = 1000

Therefore the probability of a passenger carrying more than one luggage = 345/1000 = 0.345

The confidence interval estimator of p is given by

p'+/-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} } where p' = 0.345 = probability of desired outcome

n = 1000 = Population size

z at 95 %   = Confidence interval estimate, the value is sought from the distribution table as z value is 1.96 at 95 % confidence level

We have  0.345+/-1.96\sqrt{\frac{0.345*(0.655)}{1000} } which gives

0.3745 or 0.3155

Which gives the range of confidential interval estimate as

212.695 to 179.224 which is equivalent to

d) (179.20, 212.716).

8 0
4 years ago
Which set of integers is NOT a Pythagorean triple and are NOT side lengths of a right triangle?
Arlecino [84]

Answer:

Answer is 27, 32, 45

Step-by-step explanation:

In the right angle triangle, hypontenous is the longest side.

∴ In each option square of longest side has to be equal to the sum of square of other two side.

We know, h^{2} = a^{2} + b^{2}  ( as per pythogorean theorem)

If we check the last option; 27, 32, 45

In the given set of integer, we have longest side as 45

∴ conisdering 45 as hyptenous

Subtituting the value in the formula

⇒45^{2} = 27^{2} +32^{2}

⇒2025= 729+1024

⇒2025\neq 1753

∴ LHS\neq RHS

Hence, the set of given integer is not a pythagorean triple and are not side length of right angle.

5 0
3 years ago
Read 2 more answers
Factor 3h2 – 11h - 42
Zina [86]
The answer is D
3*-42=-126
The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)
7 0
4 years ago
Read 2 more answers
ABCD is a parallelogram<br> a. Name the pairs of parallel sides.<br> b. If ∠ = 60°, find ∠.
xenn [34]

Answer:

AB // CD AND AC//BD

Step-by-step explanation:

THE OTHER ANGLE WILL ALSO BE 6O BECAUSE OPPOSITE ANGLES OF A PARALLELOGRAM ARE EQUAL.

6 0
4 years ago
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