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Nataly_w [17]
3 years ago
14

Based only on the information given in the diagram, which congruence

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:

Step-by-step explanation:On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.  

Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent").

Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent").

Nuetrik [128]3 years ago
5 0

Answer:

SAS and LL

Step-by-step explanation:

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Which ordered pairs in the form (x,y) are solutions to the equation 7 x - 5y = 28?
Tcecarenko [31]

the answer would be C because 7(-1) -5(-7) would be -7+35 which equals 28

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3 years ago
Based on sample results, a 90% confidence interval for the mean servings of fruit per day consumed by grade school children is (
Artemon [7]

Answer: 1.12

Step-by-step explanation:

The confidence interval for the mean \mu and margin of error E is given by :-

(\mu-E,\ \mu+E)                                             --------------(1)

The given confidence interval : (0.21, 2.45)              -------------(2)

From (1) and (2), we  have

\mu-E=0.21-------(3)\\\\\mu+E=2.45--------(4)

Subtract equation (3) from (4), we get

2E=2.45-0.21\\\\\Rightarrow\ 2E=2.24\\\\\Rightarrow\ E=\dfrac{2.24}{2}=1.12

Hence, the margin of error is 1.12 .

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3 years ago
3. What value of y makes the following equation true? *
Anna71 [15]

Answer:

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5 0
3 years ago
I need help, I don't know how to do it.
Sindrei [870]

Answer:

Step-by-step explanation:

to solve this problem we can use the Pythagorean theorem

UT and TL are the legs, while LU is the hypotenuse

We have to find LU so we can proceed like this

x^2 + (x+1)^2 = LU^2

x^2 + x^2 + 1 + 2x = LU^2

2x^2 + 2x + 1 = LU^2

LU = +/- \sqrt{2x^2+2x+1

we have to take only the positive value because a length can’t be negative.

2x^2 + 2x + 1 is positive for every value of x, so the final answer is

\sqrt{2x^2+2x+1}

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3 years ago
What would be the best first step in solving this system?​
Setler79 [48]

Answer:

B. substitute for X in first equation

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