Answer:
DE = 20units
Step-by-step explanation:
In Δ ABC,
angle A is congruent to angle B.... (given)
therefore, ΔABC is an isoceles triangle.
therefore, CA = CB..... (side opposite to congruent angles are congruent in an isoceles triangle)
therefore, CB = 4 units
In ΔCDE,
angle D is congruent to angle E.... (given)
therefore, ΔCDE is an isoceles triangle.
therefore, CD = CE
therefore, CD = 8 units
ΔCDE ~ ΔCBA
therefore,
if you use a calculator the answer is 0.00559493
Amount Daisy plans to spend on food is $625
Step-by-step explanation:
- Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room
Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750
- Step 2: Calculate the remaining amount.
Remaining amount = $5000 - $3750 = $1250
- Step 3: Calculate the amount Daisy plans to spend on food
Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625
Answer:
Yes because after solving the equation, x does indeed equal 14.
Step-by-step explanation:
-5 + 2x = 23
2x = 23 + 5
2x = 28
x = 14
9514 1404 393
Answer:
Step-by-step explanation:
Let J and M represent the current ages of Jacob and his Mother.
<u>currently</u>:
M = 3 +9J
<u>in 11 years</u>:
M+11 = 5 +3(J+11)
Using the first equation to substitute for M in the second, we have ...
(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M
9J +14 = 3J +38 . . . . . . simplify
6J + 24 . . . . . . . . . . subtract 3J+14
J = 4 . . . . . . . . . . divide by 6
M = 3 +9(4) = 39
Jacob is 4 and his mother is 39.
