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Olin [163]
3 years ago
10

Match the values based on parallelogram ABCD, shown in the figure. Tiles length of value of value of Pairs 56 arrowBoth 4 arrowB

oth 44 arrowBoth 2 arrowBoth
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0
Given a parallelogram ABCD with the measure of segment BC = (6 - x) units, the measure of segment AD = (x + 2) units.
Angle A measures (100 - y) degrees and angle C measures (12 + y) degrees.

Recall that for a parallelogram, <span>the opposite sides are of equal length and the opposite angles are of equal measure.

From the given parallelogram, segment BC is opposite to segment AD and angle A is opposite to angle C.

Thus, 6 - x = x + 2
2x = 4
x = 2

Therefore, the value of x is 2 and the length of segment BC is 6 - 2 = 4 units.

Similarly, 100 - y = 12 + y
2y = 88
y = 44

Therefore, value of y is 44 and the measure of angle DAB is 100 - 44 = 56 degrees.
</span>
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I don’t understand this.. <br> will someone please help? Will mark Brainliest along with 20 points.
inn [45]

To say two quantities a and b "vary directly" with one another means that a change in one of the quantities results in a proportional change in the other quantity. For example, if a=2b, then b is proportional to a by a factor of 2, or a is proportional to b by a factor of 1/2. In other words, if you change b by some fixed amount, then a changes by double that amount.

Mathematically this means there is some constant scaling factor k such that a=kb. In question 4, we're told f(x) varies directly with x^2, which means there's some k such that

f(x)=kx^2

We're given that f(x)=40 when x=2, so

40=k\cdot2^2\implies40=4k\implies k=10

Then when x=5, we get

f(5)=10\cdot5^2=10\cdot25=250

- - -

For a,b to "vary inversely" with one another means that a change in one quantity results in an "opposite" change in the other. In other words, if a increases, then b decreases, and vice versa.

Mathematically, this is the same as saying there is some fixed number k such that ab=k.

For example, if k=1 and we start with a=1, then b=1 also. If we change to a=2, then b=\dfrac12; if a=10, then b=\dfrac1{10}, and so on.

In question 5, we're told f(x) varies inversely with x, so that there is some constant k for which

x\,f(x)=k

When x=4, we have f(x)=6:

4\cdot6=k\implies k=24

Then for x=8, we get

8\,f(8)=24\implies f(8)=3

5 0
3 years ago
Solve the question ​
Nastasia [14]

Answer:

the answer is 402 the 2 lines just make the answer an even number and if its already even nothing happens

Step-by-step explanation:

5 0
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ad-work [718]

Answer:

D x = 18

Step-by-step explanation:

Given equation:

−2x = −36

Divide both sides by -2 to find x

−2x / -2 = −36 / -2

x = −36 / -2

x = 18

x = 18 makes the equation −2x = −36 true

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3 years ago
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My name is Ann [436]
The answer would be B ( > )

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Solve.<br><br>6 – 4x = 4(3 – x)
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No solutions because it simplifies to 6=12 which isn’t true
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