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2 years ago

What else would need to be congruent to show that STU is congruent to JKL by SAS? tysm! :)

Mathematics

2 answers:

lyudmila [28]2 years ago

7 0

Answer:

Choice C.

Step-by-step explanation:

You already have two sides and two angles. Now you need the other two sides that include the angle. Choice C is correct.

Fittoniya [83]2 years ago

3 0

Answer: C. $\overline{SU}\cong\overline{JL}$

Step-by-step explanation:

SAS congruence postulate tells that if two sides and the included angle of a triangle are congruent to corresponding two sides and the included angle of other triangle, then the triangles are congruent.

In the given picture , we have two triangles ΔSTU and Δ JKL , in which we have

$\overline{ST}\cong\overline{JK}$

$\angle{S}\cong\angle{J}$

To prove ΔSTU is congruent to Δ JKL, we need $\overline{SU}\cong\overline{JL}$ such that $\angle{S}\text{ and }\angle{J}$ becomes congruent the included angles between pair of congruent sides.

Hence, C is the right option.

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A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an

pashok25 [27]

Answer:

Step-by-step explanation:

To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.

If you do that, you'll see that in3 boxes, there are 21 footbals.

You can also calculate it mathematically:

If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.

Hope it helped,

BioTeacher101

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2 years ago

Read 2 more answers

Question regarding a Normal Distribution chart: Ten thousand adults were given a literacy test. The results were nearly normally

nirvana33 [79]

Answer:

a) 4,706 scored between 60 and 80

b) A score of 90.6.

c) 81th percentile.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 75, \sigma = 15$

A. About how many scored between 60 and 80?

Proportion:

This is the pvalue of Z when X = 80 subtracted by the pvalue of Z when X = 60. So

X = 80

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

$Z = \frac{80 - 75}{15}$

$Z = 0.33$

$Z = 0.33$ has a pvalue of 0.6293

X = 60

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

$Z = \frac{60 - 75}{15}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.6293 - 0.1587 = 0.4706

How many?

0.4706 out of 10,000, so

0.4706*10000 = 4706

4,706 scored between 60 and 80.

B. Approximately what score did only the top 15% exceed?

The 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

$1.037 = \frac{X - 75}{15}$

$X - 75 = 1.037*15$

$X = 90.6$

A score of 90.6.

C. Find the percentile rank of the person who scored 88.

This is the pvalue of Z when X = 88. So

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

$Z = \frac{88 - 75}{15}$

$Z = 0.87$

$Z = 0.87$ has a pvalue of 0.8078

So, rounding up, the 81th percentile.

4 0

1 year ago

Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4

Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

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2 years ago

A cook needs 5 cups of vegetable stock for a soup recipe. How much is this in pints? Write your answer as a whole number or a mi

sineoko [7]

2.5 pints. Look it up. That's what I would do

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1 year ago

If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.

harina [27]

Answer:

Step-by-step explanation:

When we simplify we get $z(6xy+21x+2y+7)+30xy+105x+10y=812.$

Then we continue to factor to get: $(z+5)(6xy+21x+2y+7)&=847.$

We then see that we can factor $(6xy+21x+2y+7)$ into $(z+5)(3x+1)(2y+7)&=847.$

we then do the prime factorization of 847, which i think is, $7*11*11$ . we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0

2 years ago