Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Answer:
The study is an observational study.
Step-by-step explanation:
Observational study: In research methods, the term "observational study" is determined as one of the different studies that are being conducted by the researchers to observe or study the effects of a specific risk factor, treatment, diagnostic test, or some other intervention in the absence of an effort to change which participants are being exposed and which is not being exposed to it.
Types: Cohort study and case-control study.
In the question above, the given statement represents the observational study.
Rigid transformation do not alter the sides and angle measurements of a shape.
The true statements are:
- <em>quadrilateral 1 and quadrilateral 2 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 3 - Not congruent
</em>
- <em>quadrilateral 1 and quadrilateral 4 - Not congruent
</em>
- <em>quadrilateral 2 and quadrilateral 3 - Congruent
</em>
<em />
From the graph, we have the following highlights
- Quadrilaterals 2, 3 and 4 are congruent
- Quadrilateral 1 does not have equal measure with any of the other quadrilaterals.
Hence, the first three statements are not congruent, while the last statement is congruent.
Read more about congruent shapes at:
brainly.com/question/24430586