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3 years ago

Find the values of x and y.

Mathematics

1 answer:

qaws [65]3 years ago

8 0

Answer:

x=30° y=5

Step-by-step explanation:

All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.

8y=40

y=40/8

y=5

Since it's an equilateral triangle. All angles are equal And each angle has dimensions

=180°/3=60°

The angle of the straight line = 180°

so The obtuse angle of the lower isosceles triangle is 180°-60°=120°

The angles at the base of the isosceles triangle are equal

so 2x° = 180°-120°

2x°=60°

x°=60°/2

x°=30°

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List least to greatest

max2010maxim [7]

Answer:

C, 3 1/2, 3 19/20, 3 39/40

Step-by-step explanation:

to make this a bit easier, we can put the mixed numbers into improper fractions:

3 39/40 becomes 159/40

3 19/20 becomes 79/20

3 1/2 becomes 7/2

comparing them to each other, we see they have unlike denominators. we need to get the denominators alike so we can compare them easier

the fractions all have a common denominator of 40, so we need to multiply each fraction by a number that gives us a denominator of 40

159/40 is already fine

79/20 needs to be multiplied by 2 to get a denominator of 40

79/20 x 2 = 158/40

7/2 needs to be multiplied by 20 to get a denominator of 40

7/2 x 20 = 140/40

from least to greatest, we have the following:

140/40, 158/40, 159/40

in their original form this would be:

3 1/2, 3 19/20, 3 39/40

the answer would be C

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4 years ago

Quadrilateral DEFG has vertices D(−2,4) , E(4,7) , F(10,3) , and G(8,0) .

Bumek [7]

The formula for a rotation 270° counterclockwise about the origin is (x,y)--->(y,-x)

D'(4,2) E'(7,-4) F'(3,-10) G'(0,-8)

5 0

3 years ago

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr

konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 80, \sigma = 5$