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balandron [24]
4 years ago
15

Given the information below, match the following items.

Mathematics
1 answer:
ELEN [110]4 years ago
7 0
Let this be the guide in dealing with conditional statement.

Statement = if p, then q
Converse = if q, then p
Inverse = if NOT p, then NOT q
Contrapositive = if NOT q, then NOT P.

Statement:
If two angles add to 180°, then they are supplementary.

Converse:
If two angles are supplementary, then they add to 180°

Inverse:
If two angles do not add to 180°, then they are not supplementary.

Contrapositive:
If two angles are not supplementary, then they do not add to 180°
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The Rawlins family has travelled 600 km on their vacation. This has taken them 8 hours. If they continued at the same rate, how
spin [16.1K]

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- <em>Time taken by family to travel 600 km is 8 hours</em>

CALCULATIONS :-

<em>To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour</em>

<em>Distance traveled in 1 hour = 600 km ÷ 8</em>

<em>                                              = 75 km</em>

<em>Time required to travel 2100 km = 2100 ÷ 75</em>

<em>                                                         = </em><em>28 hours</em>

Therefore time required to travel 2100 km is 28 hours.


6 0
4 years ago
The degree of polynomial is ?
seropon [69]
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
6 0
2 years ago
What is 8/15÷2/5?What so u think is the best answer for this problem??
Mademuasel [1]

Answer:

1 1/3

Step-by-step explanation:

Solve. Change the division sign into a multiplication, and flip the second fraction:

(8/15)/(2/5) = (8/15) x (5/2)

Multiply across:

(8 x 5)/(15 x 2) = (40)/(30)

Simplify. Divide common factors:

(40/30)/(10/10) = 4/3

4/3 or 1 1/3 is your answer.

~

5 0
4 years ago
Read 2 more answers
Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in
tatuchka [14]

Answer:

The equation representing how old Monique son is \mathbf{a = 2 + \dfrac{8}{21}(q-34)}

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

q(t) = \hat q \times t + q_o

where;

q_o = initial height of Monique's son

\hat q = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

\hat q = 2 \dfrac{5}{8} \ in/yr

\hat q =  \dfrac{21}{8} \ in/yr

Then; from the equation q(t) = \hat q \times t + q_o

34 = \dfrac{21}{8} \times 0 + q_o

q_o = 34\  inches

The height of the son as a function of the age can now be expressed as:

q(t) = \dfrac{21}{8} \times t + 34

Then:

Making t the subject;

q - 34 = \dfrac{21}{8} \times t

t = \dfrac{8}{21}(q-34)

and the age of the son  i.e. ( a (in years)) is:

a = 2 + t

So;

\mathbf{a = 2 + \dfrac{8}{21}(q-34)}

SO;

if q (growth rate) = 50 inches tall

Then;

\mathbf{a = 2 + \dfrac{8}{21}(50-34)}

\mathbf{a = 2 + \dfrac{8}{21}(16)}

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0
3 years ago
The perimeter of a rectangle is 30 inches. If its width is three times its length, find the dimensions of the rectangle.
makkiz [27]
The perimeter of a rectangle is 30 inches. If its length is three times its width, find the dimensions. 30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.
8 0
3 years ago
Read 2 more answers
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