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STALIN [3.7K]
3 years ago
6

How would I solve for x?​

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

x = 65

Step-by-step explanation:

First, we calculate the unknown angle of the left triangle and right triangle:180 - 62 - 50 = 68

Unknown angle for left triangle⬆️

180 - 80 - 53 = 47

Unknown angle for right triangle⬆️

Now we've calculated the two angles for the small triangle in the middle. So, we just have to calculate the top angle of the middle triangle:

180 - 68 - 47 = 65

The angle 65° and angle of x are vertical angle.(both are equal)

So... <u>x= 65°</u>

<em>hope it </em><em>helps </em><em>:</em><em>)</em>

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Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​
Helga [31]
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

7 0
3 years ago
Which technique for gathering data (observational study or experiment) do you think was used in the following studies?(a) The Co
miv72 [106K]

Answer:

For question a, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question b, the correct option is: This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question c, the correct option is: This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

For question d, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

Step-by-step explanation: To give us a background on why the options above were chosen, let us see the difference between Observational study and Experimental study.

In an observational study, the researcher draws inferences from an independent variable that is not under his/her control. While in an experimental study, there in an intervention and the effects of the intervention are studied.

Therefore, in the questions a to d above, all we need to do is identity which variables were influenced and which were merely observed.

For question a, the variables were only observed.

For question b, the variables were influenced.

For question c, the variables were also influenced.

For question d, the variables were merely observed.

6 0
3 years ago
Explain how you found your answer
bogdanovich [222]

Answer:

29°

Step-by-step explanation:

151° + a=180°

We know the sum of angles in a straight line is 180°

a= 180°-151°

The sign changed as it changed sides

a= 29°

5 0
2 years ago
Convert: 16,000 pounds tons Submit convert it​
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Answer: 8

Step-by-step explanation:

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3 years ago
The length of a rectangle is 5 more inches more than the width. The perimeter is 46 inches. Find the length and the width.
natta225 [31]

Answer: w = 9 inches

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Step-by-step explanation:

5 0
3 years ago
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