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2 years ago

In parallelogram HJKL if HM=12 find HK. K M M H L

Mathematics

1 answer:

Anestetic [448]2 years ago

7 0

Answer:

HK = 24

Step-by-step explanation:

HK and JL are diagonals of the parallelogram.

Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.

Therefore,

HK = 2(HM)

HM = 12

Thus,

HK = 2(12)

HK = 24

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beks73 [17]

The commutative property of addition means the order of the addends doesn't matter; we get the same sum. In symbols

$a+b = b+a$

11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.

The next part asks us to use the commutative property. Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication. Let's write that generally first:

 $ab = ba$

Applying that, (4 + 7) * 3 = 3*(4+7), again choice B.

3 0

3 years ago

Y varies directly as x if x=15 when y=20, find x when y=30

mixas84 [53]

Answer:

X=22.5

Step-by-step explanation:

Y=kX

20=15k

k=4/3

For X when Y=30

30=4/3×X

Cross multiply

4X=90

X=22.5

6 0

2 years ago

NEED HELP PLEASE don't know how to solve

amid [387]

The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the intercepted arcs.

 $\frac{10x+20-80}{2}=2x+15 \\ 10x-60=2(2x+15) \\ 10x-60= 4x+30 \\ 10x-4x=30+60 \\ 6x=90 \\ x=90/6 \\ x=15$

3 0

3 years ago

Evaluate∣2x+7∣ for x=-4

yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

∣-8+7∣= -1

Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

5 0

2 years ago

Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *

zepelin [54]

You multiply vectors and scalar simply by multiplying each component by that scalar:

$-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle$

Finally, you sum two vectors by summing the correspondent coordinates:

$-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle$

4 0

3 years ago