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3 years ago

If Zer is complementary to ZDFH, then

Mathematics

1 answer:

stellarik [79]3 years ago

7 0

Answer:

Step-by-step explanation:

<JEK is complementary to <DFH.

From the figure we see that angles DFH and HFG are complementary.

Since angles JEK and HFG are both complementary to <DFH, then

<JEK is congruent to <HFG

<HFG is vertical to <CFL, so angles HFG and CFL are congruent.

That makes angles JEK and CFL complementary.

Answer: A.

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A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18

Softa [21]

Answer:

The sequence -12 , -18 , -27 , ............ is generated using the formula ⇒ 1st sequence

Step-by-step explanation:

The recursive formula of the sequence is f(n + 1) = 1.5 f(n)

That means there is a constant ratio 1.5 between each two consecutive terms

In sequence -12 , -18 , -27 , ............

The first term is -12

The formula is f(n + 1) = 1.5 f(n)

Use the first term where n = 1 to find the 2nd term

∵ f(1) = -12

- Substitute n by 1 in the given formula

∵ f(1 + 1) = 1.5 f(1)

∴ f(2) = 1.5(-12)

∴ f(2) = -18

Use the second term where n = 2 to find the 3rd term

∵ f(2) = -18

- Substitute n by 2 in the given formula

∵ f(2 + 1) = 1.5 f(2)

∴ f(3) = 1.5(-18)

∴ f(3) = -27

∴ The sequence -12 , -18 , -27 , ............ is generated using the formula

8 0

3 years ago

How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation

lakkis [162]

In order to find the square root, we must find a number that when multiplied by itself one time, it produces the number under consideration.
In the case of 64, the square root is 8 because 8 multiplied once by itself is 64.

However, when finding the cube root, the root must multiply by itself two times and make the number.
In the case of 64, 4 multiplied by itself two times is 64.

3 0

3 years ago

Read 2 more answers

For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1

Volgvan

We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.

Let us assume t=0 corresponds to year 1980.

Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).

We can to find a linear function passing through these points. Let us first find slope of the linear function:

$m=\frac{y_{2}-y_{1} }{t_{2}-t_{1}} =\frac{47-39.7}{9-3} =\frac{7.3}{6} =\frac{73}{60}$

We can write the required linear function as:

$y-39.7=\frac{73}{60}(t-3)$

Upon simplifying this, we get:

$y=\frac{73}{60}t+\frac{721}{20}$

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

$y=\frac{73}{60}(15)+\frac{721}{20}=54.3$

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.

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4 years ago

A license plate has a three-digit number printed on it. The product of the digits is 210, their sum is 18, and the numbers appea

tia_tia [17]

The answers are 7,6,5.

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3 years ago

Solve: 1/5(10x-15) = 1/4(12x-8)

valkas [14]

1/5(10x−15)=1/4(12x−8)

1/5(10x−15)=1/4(12x−8)

Simplify:

(1/5)(10x)+(15)(−15)=(1/4)(12x)+(1/4)(−8)(Distribute)

2x+−3=3x+−2

2x−3=3x−2

Subtract 3x from both sides.

2x−3−3x=3x−2−3x

−x−3=−2

Add 3 to both sides.

−x−3+3=−2+3

−x=1

Divide both sides by -1.

−x/−1 = 1/−1

x=−1

8 0

4 years ago