MATHEMATICS HIGH SCHOOL

Two triangles that have the same side lengths will always be congruent.A. True
B. False

Answers

Answer 1
Answer: True, this is in accordance to the side-side-side postulate.

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Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answers

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30

Is (2,4) a solution of the equation y=x-2

Answers

4 = 2 - 2
4 = 0
Is it a solution for y = x - 2?
No.

Final answer:

To determine if a point is a solution to an equation, substitute the values of the coordinates into the equation. The point (2,4) was found to not be a solution to the equation y=x-2.

Explanation:

To test if the point (2,4) is a solution to the equation y=x-2, we replace the 'x' with '2' and 'y' with '4' in the equation.

So if y is indeed equal to x - 2, then, replacing x and y should leave you with a true statement. That will be 4 = 2 - 2. But this results in, 4 = 0 which is not true.

So, (2,4) is not a solution to the equation y=x-2.

Learn more about Solving equations here:

brainly.com/question/18322830

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Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answers

This process is: 

Distribute of the Negative Sign:
5t+t−3+−1(7t+5−(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+−7t+−5+8+−3t
Now simple, Just Combine Like Terms:
5t+t+−3+−7t+−5+8+−3t
(5t+t+−7t+−3t)+(−3+−5+8)
−4t

-4t would be the answer.

~Evie 
I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

What is the slope of a line
parallel to the line 4x – 3y = 16?

Answers

"Parallel" means the same, which means the slope you find. The formula for slopes is y=mx+b, so we need to put this equation in the right order for that. ('m' is the slope.)
 Add 4x to each side, and get -3y=16+4x. Rearrange it to get it in the right order (y=mx+b).
This is -3y=4x+16. So the number in front of 'x' is 'm', which is the slope. You never actually see 'm', it is represented by a number. So four is the slope.

Answer:

the given eqaution y=mx+b represents a straight line with slope m and the y intercept b.

So now let us see how to graph the equation y=5x+(-6):

Putting x=0, we get y=-6 which implies one coordinate is (0,-6)

Now putting x=1, we get y=-1 which implies the coordinate is (1,-1)

Putting x=2, we get y=4. So the coordinate is (2,4)

Step-by-step explanation:

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Three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1. what is the number?

Answers

Let the number be y;
3+8y=3(2y-1)
8y+3=6y-3
Putting like terms together;
8y-6y=-3-3
2y=-6
y=-3
The number is -3

Answer:  The required number is -3.

Step-by-step explanation:  Given that three added to 8 times a number is the same as 3 times the value of 2 times the number minus 1.

We are to find the number.

Let x represents the given number.

Then, according to the given information, we have

8x+3=3(2x-1)\n\n\Rightarrow 8x+3=6x-3\n\n\Rightarrow 8x-6x=-3-3\n\n\Rightarrow 2x=-6\n\n\Rightarrow x=-(6)/(2)\n\n\Rightarrow x=-3.

Thus, the required number is -3.

4 is what percent of 20

Answers

20%
Finding percentage u have to
Divide 4/20= 0.2 then multiply by 100 to get percentage which is 20%
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