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3 years ago

State the hypothesis and the conclusion in each conditional statement.

Mathematics

1 answer:

saveliy_v [14]3 years ago

7 0

Step-by-step explanation:

Hypothesis - Statement following the word 'Íf'

Conclusion - Statement after the word 'Then'

26. If you are a basketball player, then you are at least 5’9” tall.

Hypothesis - If you are a basketball player

Conclusion - then you are at least 5’9” tall.

27. If three points lie on a line, then they are collinear.

Hypothesis - If three points lie on a line

Conclusion - then they are collinear.

28. If you are 13 years old, then you are a teenager.

Hypothesis - If you are 13 years old

Conclusion - then you are a teenager.

29. 9x=36 implies x=4.

Hypothesis - 9x=36

Conclusion - x=4

30. A =+~ B only if mA =+~mB

Hypothesis - if mA =+~mB

Conclusion - A =+~ B

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-4=12-2x <br>please help me with step by step

TEA [102]

Answer:

x=8

Step-by-step explanation:

-4 = 12 - 2x

when plus 12 goes to the left hand side it changes its sign so,

-4 -12 = -2x

- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -

-16=-2x

when -2 comes to the left hand side it changes its from multiplication to division.So,

-16/-2=x

8=x

we will get positive 8 because minus and minus also gets cancel.

6 0

3 years ago

Read 2 more answers

S KM ∥ JN? Why or why not?

bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because $\frac{16}{10}= \frac{24}{15}$

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

$LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\$

which is true as both sides simplify to $\frac{8}{13}$

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

$\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}$

In other words, $\frac{16}{10}= \frac{24}{15}$

4 0

3 years ago

Read 2 more answers

Please help me. I need help ASAP.

lara [203]

Answer:

a) 72

b) $259.2

Step-by-step explanation:

A- The bus travels 40 miles on 8 gallons of gasoline. The bus is traveling 360 miles in total.

360/40= 9

9*8= 72

B- $3.60 per gallon and 72 gallons in total.

3.60*72=259.2

$259.2

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%2B%5Cfrac%7B5%7D%7B7%7D%20%2B-%5Cfrac%7B1%7D%7B5%7D" id="TexFormula1"

natali 33 [55]

3/5 + 5/7 = 1 11/35 - 1/5 = 1 4/35 which is your final answer.

7 0

3 years ago

Read 2 more answers

An object is launched directly in the air at a speed of 48 feet per second from a platform located 12 feet above the ground. The

anastassius [24]

9514 1404 393

Answer:

48 ft

Step-by-step explanation:

For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.

t = -48/(2(-16)) = 1.5

Then the maximum height is ...

f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12

f(1.5) = 48

The maximum height the object will reach is 48 feet.

6 0

3 years ago