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1 year ago

15

In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following

angles must be congruent to angle PKJ?

1 answer:

My name is Ann [436]1 year ago

4 0

Answer:

angle PHI

Step-by-step explanation:

Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ

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Find the slope a) -5, b) -1/5, c)5, d) 1/5,

Arturiano [62]

Answer:

The slope is a) -5.

Step-by-step explanation:

(-6, -4)

(-5, -9)

the difference in slope is $\frac{-9 - (-4)}{-5 - (-6)} = \frac{-9 + 4}{-5 +6} = \frac{-5}{1} = -5$

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2 years ago

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2 years ago

If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).

svetoff [14.1K]

Given:

$f(1)=10$ and $f(n)=f(n-1)-4$ .

To find:

The value of f(5).

Solution:

We have,

$f(n)=f(n-1)-4$

For $n=2$ ,

$f(2)=f(2-1)-4$

$f(2)=f(1)-4$

$f(2)=10-4$

$f(2)=6$

For $n=3$ ,

$f(3)=f(3-1)-4$

$f(3)=f(2)-4$

$f(3)=6-4$

$f(3)=2$

For $n=4$ ,

$f(4)=f(4-1)-4$

$f(4)=f(3)-4$

$f(4)=2-4$

$f(4)=-2$

For $n=5$ ,

$f(5)=f(5-1)-4$

$f(5)=f(4)-4$

$f(5)=-2-4$

$f(5)=-6$

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3 years ago

Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?

Anastaziya [24]

Answer:

x = $\frac{+}{-}$ 7

Step-by-step explanation:

$x^{2}$ = 49

$\sqrt{49}$ can equal 7 or -7

7 x 7 = 49. -7 x -7 = 49

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3 years ago

Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms

yaroslaw [1]

Answer:

0.4545 kgs.

Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

i.e. 1kg= 22 lbs.

We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

4 0

2 years ago