Answer:
A) AA postulate; 18
Step-by-step explanation:
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
Larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x
(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13
find other
y+2=x
13+2=x
15=x
numbers are 13 and 15
Answer:
$493.71
Step-by-step explanation:
350(1 + 0.035/4)^4(10)
Answer:
X= - 44
18x+3x+4-5=5(4x9
Collect like terms
21x+4-5=5(4x-9
More variable to the left hand side and change its sign
21x-20x-1=-45
Correct like terms
X=-45+1
Which is x=-44
The congruence symbol is this: ≅.
It’s saying to write the statement that’s saying both shapes are congruent. For example ABC ≅ DEF but use the letters in the shapes they gave.
