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schepotkina [342]
3 years ago
12

5. Find the value of x. (x+16) (4x-5)​

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

x = 7

Step-by-step explanation:

Set the equations equal to each other, since the two angles are congruent.

x + 16 = 4x - 5 now solve

21 = 3x

x = 7

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The sum of the ages of the father and his son is 42 years. The product of their ages is 185. Find the age of the father and the
Iteru [2.4K]

Let f and s be the ages of the father and the son. We have

\begin{cases}f+s=42\\fs=185\end{cases}

From the first equation we derive

f=42-s

Substitute this expression for f in the second equation and we have

(42-s)s=185 \iff -s^2+42s-185=0 \iff s^2-42s+185=0

The solutions to this equation are s=5 or s=37

Since the sum of the ages must be 42, the solutions would imply

s=5 \implies f=37,\quad s=37\implies f=5

We can only accept the first solution, since the second would imply a son older than his father!

4 0
3 years ago
Please need GEOMETRY help
natali 33 [55]
Multiply everything together in each question = and you’ll get your answer

Hope this helps!
6 0
4 years ago
Solve for x: 3(x + 1) = −2(x − 1) − 4
Anika [276]
Solve your equation step-by-step.

3(x+1)=−2(x−1)−4


Simplify both sides of the equation.

3(x+1)=−2(x−1)−4

Simplify:

3x+3=−2x−2

Add 2x to both sides.

3x+3+2x=−2x−2+2x

5x+3=−2

Subtract 3 from both sides.

5x+3−3=−2−3

5x=−5

Divide both sides by 5.

5x/5 = −5/5

x=−1


4 0
3 years ago
Jose and Jenna competed in a bike race. After 30 minutes. Jose had finished 2/3 of the race, and Jenna had finished 7/12 of the
Zolol [24]

Answer: Jose


Step-by-step explanation: Because 2/3 is the same as 8/12


4 0
3 years ago
Solve the formula s=4pi r^2 for r
andrew11 [14]

Answer:

The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then multiply that by 4. This is written algebraically as S=4πr2, where S is the surface area, r is the radius, and the value of π is 3.14.

7 0
3 years ago
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