Answer:
1.
a) isosceles right triangle
b) scalene triangle
c) isosceles triangle
d) equilateral triangle
2. 53 degrees
3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.
Step-by-step explanation:
Answer:
XT=6 units
Step-by-step explanation:
The picture of the question is the attached figure
step 1
In the right triangle RST
Applying the Pythagorean theorem

we have
---> by segment addition postulate
substitute
----> equation A
step 2
In the right triangle RTX
Applying the Pythagorean theorem

we have

substitute


----> equation B
step 3
In the right triangle XTS
Applying the Pythagorean theorem

we have

substitute


----> equation C
step 4
equate equation B and equation C


----> equation D
step 5
Solve the system
----> equation A
----> equation D
Solve by elimination
Adds equation A and equation D

Find the value of RT^2

step 6
Find the value of XT
equation C

We are given the expression B=3Mn/2 and told to express M in terms of B and n. This means that we should apply mathematical operations on both sides of the equation so we "isolate " M on one side of the equality sign. We begin with the given equation

First, we multiply both sides by 2, so we get

Next, we divide by 3 on both sides, so we get

Finally, we divide both sides by n, so we get

In this case, we have succesfully expressed M in terms of B and n
Answer:
The distance across the lake is 3.5 km
Step-by-step explanation:
Hypotenuse is divided in equal parts. Thus both sides are divided in the same proportion.