5x + 14 = 28
5x + 14 - 14 = 28 -14
5x = 14
5x/5 = 14/5
x = 2.8
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
Answer:
1. x=27
2. x=3
Step-by-step explanation:
<h3>the first one </h3>
let's solve your equation step-by-step.
x−7=20
Step 1: Add 7 to both sides.
x−7+7=20+7
<h3>the second one </h3>
Let's solve your equation step-by-step.
3x+6=12x−21
Step 1: Subtract 12x from both sides.
3x+6−12x=12x−21−12x
−9x+6=−21
Step 2: Subtract 6 from both sides.
−9x+6−6=−21−6
−9x=−27
Step 3: Divide both sides by -9.
−9x/−9=−27/−9
<h3 />
Answer:
Step-by-step explanation:
i didnt exactly answer this but i found someone who did
(pasted) i still hope it helps
Let x and (40L-x) represent the 20% and 4% solutions respectively
Mixing the 20% and 1% to form 40L of 15% solution
.20x + .04(40L-x) = .15*40L
.16x = .11*40L
x = .11*40L/.16
x = 27.5L, the amount of the 20% solution.
12.5L,the amount of the 4% solution (40L - 27.5L)
CHECKING our Answer
.20*27.5L + .04*12.5L = 5.5L + .5L = 6L = .15*40L
Which tells us incidentally there is 6L of disinfectant in the final solution.
ANSWER : In simple interest at the rate 25℅
EXPLANATION: it’s the answer