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STatiana [176]
3 years ago
15

I need to understand the solution.

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Rules:

odd x odd = odd

even x even = even

even x odd = even

even + even = even

odd + odd = even

odd + even = odd

We can determine whether 2a + 3b is odd if we have both statements because we know that a is odd and 2 is even, which means their product will be even. 3 is odd and b is odd, so their product will be odd. The sum of the even and odd will be odd.

If we have just the second statement we can determine the answer because anything multiplied by 2 is even.

So whether or not we know if a is odd, we know that 2a is even because 2 doubles everything which means it's divisible by 2 which means it's even.

However, statement 1 alone is not enough because if a is odd, then 2a is even. However, 3b can be even or odd depending on b. If b is odd, then 3b is odd. if b is even, 3b is even.

Therefore, if you have statement 2 you can answer the question but if you only have statement 1 then you also need statement 2

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Shkiper50 [21]

Answer:

Step-by-step explanation:

H(3,2)  & J(4, 1)

Slope = \dfrac{y_{2} -y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{1-2}{4-3}\\\\\\=\dfrac{-1}{1}\\\\= -1

K(-2,-4)  & M(-1 , -5)

Slope =\dfrac{-5-[-4]}{-1-[-2]}\\\\=\dfrac{-5+4}{-1+2}\\\\= \dfrac{-1}{1}\\\\\\= -1

Line HJ and KM have same slopes. So, they are parallel

6 0
3 years ago
Find the value of each variable.
Molodets [167]
There is no variables here
8 0
3 years ago
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nevsk [136]

Answer:

y is equal to (-1/4)x

hope this helped! :)

7 0
3 years ago
12. Find the measure of each interior angle of triangle QRT.
Veseljchak [2.6K]

Answer:

\angle QRT=125.6\°

\angle RTQ=6.4\°

\angle TQR=48\°

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle 17x is an exterior angle of the triangle QRT. Then:

17x=\angle RTQ+\angle TQR

Where:

\angle RTQ=2x\\\\\angle TQR=48\°

Substituting values and solving for "x", we get:

17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2

Then:

17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°

The sum of the interior angles of a triangle is 180°, therefore:

\angle QRT+\angle RTQ+\angle TQR=180

Solving for \angle QRT, we get:

\angle QRT=180-48-6.4=125.6\°

8 0
3 years ago
Please hurry I will mark you brainliest
Slav-nsk [51]

Step-by-step explanation:

Let grandson's age be x.

Let grandpa's age be y {equation : y = 8+5x}

so,

x + y = 88

or, x + 8+ 5x = 88 (substituting the value of y)

or, 6x + 8 =88

or, 6x = 88-8

or, 6x = 80

or, x = 80/6

so, x = 13.33

so grandson's age = 13.33

grandpa's age = 8 + 5x = 8 + (5×13.33) = 74.65 yrs

7 0
3 years ago
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