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4 years ago

Prove, or find a counterexample: "if m is odd," then 4m – 3 "is odd."

1 answer:

3 0

An odd number multiplied by an even number is even, so 4m is even. An even number added to an odd number is odd, so 4m-3 is odd.

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THE SEVEN APPLEWOMEN

Sliva [168]

Answer:

zero

Step-by-step explanation:

If the same sum is received for the sale of 20 apples at price p as is received for the sale of 140 apples at price p, then we must have ...

20p = 140p

120p = 0 . . . . . . subtract 20p

p = 0 . . . . . . . . . divide by 120

The price was zero.

7 0

4 years ago

Read 2 more answers

Unit 4 Test, Part 2: Congruence and Constructions<br> Help with my math please

lakkis [162]

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

$\overline{NM} = 20$

$\overline{MK} = 15$

$\overline{KN} = 25$

$\overline{TR} = 3x - 1$

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to $\overline{TR}$ is $\overline{NM}$ . Thus:

$\overline{TR}$ ≅ $\overline{NM}$

c. Since $\overline{TR}$ ≅ $\overline{NM}$ , therefore:

$\overline{TR} = \overline{NM}$

$3x - 1 = 20$ (substitution)

Add 1 to both sides

$3x = 20 + 1$

$3x = 21$

Divide both sides by 3

$x = \frac{21}{3}$

$x = 7$

2. a. Slope of LK = $\frac{rise}{run} = \frac{4}{3}$

Slope of LM = $\frac{rise}{run} = -\frac{3}{5}$

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

$Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}$

$Lk = \sqrt{(3)^2 + (4)^2}$

$Lk = \sqrt{9 + 16}$

$Lk = \sqrt{25}$

$Lk = 5$

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

$LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}$

$LM = \sqrt{(5)^2 + (-3)^2}$

$LM = \sqrt{25 + 9}$

$LM = \sqrt{34}$

$LM = 5.8$ (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

8 0

3 years ago

Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?

nevsk [136]

Answer:

Step-by-step explanation:

Let's express all the given numbers as decimals:

nine tenths- 0.9

0.3

0.8

five tenths- 0.5

two tenths- 0.2

Ordering them from least to greatest:

two tenths, 0.3, five tenths, 0.8, nine tenths

7 0

3 years ago

Read 2 more answers

The diameter of a circle is 16 centimeters. How would you calculate the area?

Y_Kistochka [10]

Answer: 201.06

Step-by-step explanation:

To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.

Hope this helps!

6 0

3 years ago

Nine more than the product of -8 and a number is -7

Yanka [14]

Answer:

-9

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers