Answer: x=0
Step-by-step explanation:
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7×4x−5×3x=5×4x+5×5x
Multiply 7 and 4 to get 28.
28x−5×3x=5×4x+5×5x
Multiply −5 and 3 to get −15.
28x−15x=5×4x+5×5x
Combine 28x and −15x to get 13x.
13x=20x+25x
Combine 20x and 25x to get 45x.
13x=45x
Subtract 45x from both sides
13x−45x=0
Combine 13x and −45x to get −32x
−32x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.
X=0
The missing step in this proof is ∠BAC ≅ ∠BDE ⇒ answer D
Step-by-step explanation:
If two triangles are similar by SAS, then their corresponding angles are
equal and the 3rd corresponding sides have constant ratio
In the two triangles ABC and DBE:
- ∠ABC ≅ ∠DBE
Then the two triangles are similar
From similarity:
∠BAC ≅ ∠BDE
∠BCA ≅ ∠BED
∴ The missing step is ∠BAC ≅ ∠BDE
The missing step in this proof is ∠BAC ≅ ∠BDE
Learn more:
You can learn more about triangles in brainly.com/question/3451297
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Let x = the number of dimes
Let y = the number of pennies.
There are 8 coins, therefore
x + y = 8 (1)
The coins are worth 17 cents, therefore
10x + y = 17 (2)
Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1
From (1), obtain
y = 8 -x = 8 - 1 = 7
Answer: 1 dime, 7 pennies.
Answer:
7 cm
Step-by-step explanation:
SA = 208 cm^2
SA= 2*a*b + 2*a*c + 2*b*c
where:
a= first dimension = 2 cm
b= second dimension = 10 cm
c= third dimension
so we have:
208= 2*2*10 + 2*2*c + 2*10*c
208= 40 + 4c + 20c
208-40= 24c
168=24c
c =168/24
c = 7cm = third dimension
Answer:
the area is 130
Step-by-step explanation:
