Answer:
∠ABC ≅ ∠XYZ
Step-by-step explanation:
Given: ΔABC is similar to ΔXYZ.
If two triangles are similar, then
1. the corresponding angles are congruent
2. the corresponding sides are proportional
From the options given,
AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.
∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ
Hence the answer is ∠ABC ≅ ∠XYZ
Answer: 8
Step-by-step explanation:
let x = the number
(x + 2)*10 = 8x + 36
10x + 20 = 8x + 36
2x = 16
x = 8
Answer:
11 + y > - 33
Step-by-step explanation:
To represent the expression :
Sum of 11 and y ; greater than - 33
Sum of 11 and y ; 11 + y
Greater Than - 33; > - 33
Hence ;
11 + y > - 33
Here-
Equation at the end of step 1 :
((9 • (x2)) - 4xy) - 2y2 Step 2 :
Equation at the end of step 2 :
(32x2 - 4xy) - 2y2Step 3 :
Trying to factor a multi variable polynomial :
3.1 Factoring 9x2 - 4xy - 2y2
Final result :
9x2 - 4xy - 2y2
Answer:
1) 
.
2) 
years
Step-by-step explanation:
Let Hanna's sister be 
years old.
Then Hanna will be 
years old.
The sum of their ages will be 
years.
The statement "no more than 18" means the sum of their ages is less than or equal to 18.
The required inequality is;
.
2)
The inequality we just found is
.
We simplify to get;
.
we divide both sides by 
to get;
.
Therefore the oldest age Hannah's sister can be is years
