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3 years ago

What is 20 % of 21.00 dollars.

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

$p\%=\frac{p}{100}\\\\20\%=\frac{20}{100}=0.20=0.2\\\\20\%\ of\ \$21.00=0.2\cdot\$21.00=\boxed{\$4.20}$

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Given DEFGH ≅ QRSTU .

blsea [12.9K]

Using our congruency statement <span>DEFGH ≅ QRSTU, we can see which angles map onto each other.

</span>D ≅ Q
E ≅ R
F ≅ S
G ≅ T
H ≅ U

We see that E ≅ R, and since E is 143 degrees, R = 143 degrees.

Why is this true, you may ask? When dealing with congruency, the given points/letters (they are really both) are congruent to the corresponding shapes letter/point. For example, if triangle ABC ≅ DEF, A would correspond to D, B would correspond to E, etc. When you see these types of problems, congruency will be applied to angles (it could apply to lines in other cases).

If you have any questions, feel free to ask!

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3 years ago

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Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side?

Anvisha [2.4K]

Answer:

Step-by-step explanation:

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3 years ago

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Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________

Tresset [83]

Using the normal distribution, it is found that the correct option is:

D. 1; 100

In a <em>normal distribution</em> with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It measures how many standard deviations the measure is from the mean.

In this problem:

The mean on the Wechsler Scale is of 100, hence $\mu = 100$ .

The standard deviation is of 17, hence $\sigma = 17$ .

Brianna had an score of 117, hence $X = 117$

Then:

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

$Z = \frac{117 - 100}{17}$

$Z = 1$

Hence, the option d is correct.

To learn more about the normal distribution, you can check brainly.com/question/24663213

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3 years ago

Triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2). It is translated according to the rule (x, y) → (x – 2, y – 16). Wha

Rudik [331]

The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6

Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)

P = (-2,6)
P ' = (-4,-10)

The answer is -10 because your teacher just wants the y coordinate of point P'

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3 years ago

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

puteri [66]

Answer: The answer is (D) $y-1=\dfrac{3}{2}(x+3).$

Step-by-step explanation: We are given to find the equation of a line which is parallel to the line in the graph and passing through the point (-3, 1).

The points (-2, -4) and (2, 2) lie on the line in the graph, so its slope will be

$m=\dfrac{2+4}{2+2}=\dfrac{6}{4}=\dfrac{3}{2}.$

The slope of the line parallel to the line in the graph will also be same. Since the new line passes through the point (-3, 1), so the equation of the line will be

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which is in the slope-intercept form.

Thus, the correct option is (D).

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3 years ago