Answer:
ΔDCE by ASA
Step-by-step explanation:
The marks on the diagram show AE ≅ DE. We know vertical angles AEB and DEC are congruent, and we know alternate interior angles BAE and CDE are congruent. The congruent angles we have identified are on either end of the congruent segment, so the ASA theorem applies.
Matching corresponding vertices, we can declare ΔABE ≅ ΔDCE.
Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
<em>To change the mixed numeral a b/c to a fraction, do this: </em>
<em>a b/c = (ac + b)/c</em>
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
$20×.25=$5
$20-$5=$15
$15×.15=$2.25
$15+$2.25=$17.25
$17.25 is your answer
Answer:
x=9 and y=115
Step-by-step explanation:
Solve y=9x+34;y=16x−29
Steps:
I will solve your system by substitution.
y=9x+34;y=16x−29
Step: Solvey=9x+34for y:
Step: Substitute9x+34foryiny=16x−29:
y=16x−29
9x+34=16x−29
9x+34+−16x=16x−29+−16x(Add -16x to both sides)
−7x+34=−29
−7x+34+−34=−29+−34(Add -34 to both sides)
−7x=−63
−7x
−7
=
−63
−7
(Divide both sides by -7)
x=9
Step: Substitute9forxiny=9x+34:
y=9x+34
y=(9)(9)+34
y=115(Simplify both sides of the equation)
Hope this helps :)
Answer:
The first is 30
Step-by-step explanation:
The third is 115
