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3 years ago

Given, Q =x^b/x^c If Q=1 then proof that b=c

Mathematics

1 answer:

LuckyWell [14K]3 years ago

4 0

Answer:

Q = x^ b / x^c
Q = x^(b-c)
1 = x^ (b-c)
x^0 = x^ (b-c)
0 = b - c
b = c

Step-by-step explanation:

if the same base are in division then the powers are subtracted
x^0 = 1
if there is same base in an equation then the power of the base can be the equation

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What additional information could be used to prove ABC MQR using SAS?

Igoryamba

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

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3 years ago

Can someone help me with this it's

koban [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

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8. H={all numbers of the form 3n+1, for n a natural number} under multiplication?

poizon [28]

Answer and Step-by-step explanation:

H= {all numbers of the form 3n+1, for n natural number} under multiplication:

Sol: all number of the form 3n+1, for n natural number so, put n=2, 3(2) +1 = 7, which is a natural number. A natural number under multiplication does not form a group because its inverse does not exist.

J= {all number of the form 3n+2, for n natural number} under multiplication:

Sol: all the number of the form 3n+2, n is the natural number does not form a group under multiplication because the identity element does not form in this set, and inverse does not exist.

K= {perfect squares of integers} under addition:

Sol: perfect square of integers under addition does not form a group because the inverse does not exist. For example, for any element x, inverse (-x) does not exist because of a square integer.

L= {perfect squares of integers} under multiplication:

Sol: a set of the perfect square of integers under multiplication is not a set, because it does not have the inverse property

M= {all numbers of the form 2, for n natural number} under addition:

Sol: natural number in the form of 2n, n is a natural number under addition is not a group as it does not have identity property. Identity property, under addition, is zero.

N= {all number of the form 2n, n is natural number} under multiplication:

All number of the form 2n, n is the natural number under multiplication is not a group. Because its inverse does not exist. For example, an element x belongs to a natural number; its inverse (1/x) does not exist in this set.

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3 years ago

*Write An inequality then solve for the width.* The length of a rectangle is 12 more than its width. what values of the width wi

Sonbull [250]

Let $x$ be the width of the rectangle, so the length will be $12+x$ .
Now, to find the perimeter of our rectangle, we are going to use the formula for the perimeter of a rectangle formula: $P=2(w+l)$
where
$P$ is the perimeter
$w$ is the width
$l$ is the length

We know that $w=x$ and $l=12+x$ , so lets replace those values in our formula:
$P=2(x+12+x)$
$P=2(2x+12)$
$P=4x+24$

We want <span>values of the width that will make the perimeter less than 96 feet, so lets set up our inequality:
</span> $4x+24\ \textless \ 96$
$4x\ \textless \ 72$
$x\ \textless \ \frac{72}{4}$
$x\ \textless \ 18$
<span>
Since the width can't be zero, we can conclude that the values </span>of the width that will make the perimeter less than 96 feet are: $0\ \textless \ x\ \textless \ 18$ or in interval notation: (0,18)

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3 years ago

Chocolate Cravings sells 6 chocolate covered pretzels for $1.80 and 5 chocolate covered strawberries for $6.00. At this rate, wh

castortr0y [4]

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

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3 years ago

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