Given that PO is a midsegment of △LMN, to which segment is MO congruent?

Which answer does NOT correctly describe the graph of y = 5x + 12?

Dafna11 [192]

Answer:

The graph contains the point (5, 12) does NOT correctly describe the graph of y = 5x + 12

Solution:

Given, linear equation in two variable is y = 5x + 12.

We have to select the option that incorrectly describes about given equation.

Now, we have to check one by one option.

a) The line has a constant rate of change.

As the given line is an linear equation it will have constant slope. So this option states correctly

b) The line crosses the y-axis 12 units above the origin

When a line crosses y – axis it x value becomes 0 → y = 5(0) + 12 → y = 12

So, the line crosses the y – axis 12 units above the origin, so this option states correctly.

c) The graph contains the point (5, 12)

To contain (5, 12) in that line → 12 - 5(5) + 12 = 0 but -1 ≠ 0

So, this option is incorrect.

Hence, option c incorrectly describes about the graph.

7 0

2 years ago

What value of x would make KM ∥ JN?

stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if $\dfrac{JK}{KL}= \dfrac{NM}{ML}$ , then KM ∥ JN.

Substitute the expressions into the proportion:

$\dfrac{x-5}{x}= \dfrac{x-3}{x+4}$

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

$x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).$

Multiply and simplify:

$x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10$

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0

2 years ago

Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American

riadik2000 [5.3K]

Answer:

The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Step-by-step explanation:

Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations

Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.

Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

3 0

2 years ago

The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vow

olga nikolaevna [1]

Answer:

0.536 is the required probability.

Step-by-step explanation:

We have been given the word the word "GEOMETRY"

we have to find the probability that two consonants and one vowel are chosen:

Number of consonants are: 5

Number of vowels are: 3

Hence, The required probability is: $\frac{^5C_2\cdot ^3C_1}{^8C_3}$

Using: $^nC_r=\frac{n!}{(r!)(n-r)!}$

$\frac{\frac{5!}{3!\cdot 2!}\cdot\frac{3!}{1!\cdot 2!}}{\frac{8!}{3!\cdot 5!}}$

Simplifying the above expression:

$\frac{\frac{5\cdot 4\cdot 3!}{3!\cdot 2}\cdot {\frac{3\cdot 2!}{2!}}}{\frac{8\cdot 7\cdot 6\cdot 5!}{5!\cdot 3\cdot 2}}$

Further simplification after cancelling out the common terms we get:

$\Rightarrow \frac{30}{56}=\frac{15}{28}=0.5357=0.536$

Hence, Option 1 is correct.

4 0

2 years ago

Read 2 more answers

What’s the angle it’s looking for ?

Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

$$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))$