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vaieri [72.5K]
2 years ago
15

Don claims that the trianlges are congruent by SAS triangle congruence criterion because a sequence of rigid motions carries \tr

iangle ABC△ABC onto \triangle DEF△DEF. Select all that can be used to support Don's claim.
A -a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AC.


B- a rotation of 30^o30 clockwise about vertex A, follwed by a translation that carries AB to DE, and a reflection over AB.


C- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AC.


D- a rotation of 90^o90 counterclockwise about vertex A, follwed by a translation that carries AC to DF, and a reflection over AB.

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
7 0

Answer:

The triangles would match if you chose D

Tom [10]2 years ago
4 0
BI checked I hope it helps
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Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given

K = 0.03W/m°C

Required

Convert K to W/cm°C

Since 1m = 100cm,

K = 0.03w/1×100cm°C

K = 3×10^-2w/10² cm°C

K = 3 × 10^-2w/10² cm°C

K = 3w× 10^{-2-2}cm°C

K = 3w×10^-4cm°C

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2 years ago
The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardi
taurus [48]

Answer:

0.7673

Step-by-step explanation:

We have the following:

The null and alternative hypothesis is,

H0: m = 290

Ha: m> 290

x = 285.2

m = 290

sd = 59.3

n = 82

is m the mean, sd the standard deviation and n the population size

Now we calculate the value of z like this:

z = (x - m) / sd / (n ^ (1/2))

z = (285.2 - 290) / 59.3 / (82 ^ (1/2))

z = -0.73

now

P (z> -0.73) = 1 - P (z <-0.73)

we look at the normal distribution table

P = 1 - 0.2327 = 0.7673

Therefore the value of p is equal to 0.7673

7 0
2 years ago
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin
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I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

-2/0.25 , -1/0.25

(-8 , -4)



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2 years ago
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Answer:

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Step-by-step explanation:

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A 22.5 ounce candle burns at the rate of one ounce every 5 hours. write an equation for the amount of candle left
maks197457 [2]

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

Given;

total number of candle, n = 22.5 ounce

Rate of candle burn, R = 1 ounce per 5 hours  = \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}

The amount of candle left = total initial value - amount burnt

let the amount let = y

y = 22.5 - 0.2t

where;

t is the time in which the candle is burnt

Thus, the equation for the amount of candle left is given by;

y = 22.5 - 0.2t

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2 years ago
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