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2 years ago

Can someone help me with this problem

Mathematics

1 answer:

Romashka [77]2 years ago

5 0

Step-by-step explanation:

Find the slope of JK by the formula :y2-y1/(x2-x1) whose value is 4/5

similarly, calculate the slope of GH it's value is also 4/5

Find slope of GK now by same formula y2-y1/( x2-x1 ).the value will be -5/3

Similarly calculate slope of HJ and you will get its value to be -5/3

since parallel lines have equal slopes JK and GH are parallel and GK and HJ are parallel. Since opposite sides are parallel GHJk is parallelogram

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Musya8 [376]

Answer:

113.1

Step-by-step explanation:

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3 years ago

Official unemployment rates for the U.S. population are reported on a monthly basis by the Bureau of Labor Statistics. For the p

Kitty [74]

Step-by-step explanation:

Clearly, there is a common difference between the monthly employment rates:

8.7% - 8.9% = -0.2%

8.5% - 8.7% = -0.2%

8.3% - 8.5% = -0.2%

a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:

y = -0.2x + 9.1, where x = 1 would be October 2011.

January 2013 is 16 months after October 2011, so:

y = -0.2(16) + 9.1

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b) To find when the unemployment rate will be zero, we set the equation equal to zero:

0 = -0.2x + 9.1

-0.2x = -9.1

x = 45.5 months

So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.

5 0

3 years ago

Round 8 5/9 to the nearest whole number. 9 10 7 8

Lyrx [107]

Answer:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

5 0

3 years ago

16 is 10% of what number

marusya05 [52]

let's say is 16% of "x", meaning "x" is the 100%.

we know "x" is 100% and 16% of it is 10, so

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16&10 \end{array}\implies \cfrac{x}{16}=\cfrac{100}{10}\implies \cfrac{x}{16}=10\implies x = 160$

6 0

3 years ago

Read 2 more answers

given : AD is ⊥to AB and DC, BC is ⊥ to AB and DC, angle EDC ≅ angle ECD, AD ≅ BC. prove: triangle ADE ≅ triangle BCE

Kamila [148]

Answer:

Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.

Step-by-step explanation:

Given:

AD ⊥ AB $\&$ CD

BC ⊥ AB $\&$ CD

AD = BC

∴ ∠ A = ∠ B = ∠ C = ∠ D =90°

∠ EDC = ∠ ECD

Solution

∠ C = ∠ BCE + ∠ ECD⇒ equation 1

∠ D = ∠ ADE + ∠ EDC⇒ equation 2

∠ C = ∠ D (given)

Substituting equation 1 and 2 in above equation we get

∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC

But ∠ EDC = ∠ ECD (given)

∴ ∠ ADE = ∠ BCE

ED = EC (∵ base angles are same triangle is isosceles triangle)

Now, In Δ ADE and Δ BCE

AD =BC

∠ ADE = ∠ BDE

ED = EC

∴ By Side Angle Side congruent property

Δ ADE ≅ Δ BCE

6 0

3 years ago