Answer:
The standard form of the expression (5a+2)(a+4) is 
.
Step-by-step explanation:
Here, the given expression is (5a+2)(a+4).
Now, (5a+2)(a+4) = 5a(a+4) + 2(a+4)
= 
=
or, 
Also, Standard Quadratic form is 
Hence, the standard form of (5a+2)(a+4) is .
Answer:
4x
Step-by-step explanation:
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old
Now when she gains another 18 years (36-18=18) he will also gain those 18 years
When she is 36 he will have 6+18=24 years old
Answer is 24.
Answer: SR ≅ UT
Step-by-step explanation:
Process of elimination:
1) RT ≅ TR doesn't help because RT and TR are the same line.
2) RU ⊥ TU doesn't help prove that ΔRST ≅ ΔTUR. It only proves that ∠TUR is a right angle (which is already given).
3) SR ⊥ ST also doesn't help prove that ΔRST ≅ ΔTUR. It only proves that ∠RST is a right angle (which is already given).
4) The statement that SR ≅ UT tells us that ΔRST and ΔTUR are right triangles and have a hypotenuse and leg in common (both triangles share a hypotenuse, RT, both triangles have a 90 degree angle, and SR ≅ UT). If SR ≅ UT, we can prove ΔRST ≅ ΔTUR by using the HL triangle congruence theorem.
