Can you answer this? 99^9 × 66 it kinda hard for me

Please help me determine the length in its simplest form

nadya68 [22]

Answer:

AB = 4.5 units

Step-by-step explanation:

Let the length of AB be x.

GIVEN :-

BC = 3 units
CD = 4 units
ED = 6 units
BD || AE

TO FIND :-

The length of AB.

FACTS TO KNOW BEFORE SOLVING :-

Basic Proportionality Theorem :-

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.

PROCEDURE :-

According to Basic Proportionality Theorem ,

$\frac{CB}{AB} = \frac{CD}{ED}$

$=> \frac{3}{x} = \frac{4}{6}$

$=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5$

∴ AB = 4.5 units

5 0

3 years ago

One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum

Liula [17]

Answer:

Approximately 34 grams of the healthy food

Step-by-step explanation:

For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:

vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------7%

X grams -----------100%

$X=\frac{1 gram* 100}{ 7 } = 14.285 grams$

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:

1 gram --------------3%

X grams -----------100%

$X=\frac{1 gram* 100}{ 3 } = 33.33 grams$

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.

Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.

3 0

4 years ago

Which postulate or theorem proves that these two triangles are congruent?

gulaghasi [49]

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

∠NMR ≅ ∠NPQ

NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

Statements Reasons

1). NR ≅ QN 1). Given

2). ∠NMR ≅ ∠NPQ 2). Given

3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

6 0

4 years ago

Evaluate 2/3 + 1/3 + 1/6 + … THIS IS CONTINUOUS. It is NOT as simple as 2/3 + 1/3 + 1/6.

Vlada [557]

$a=\dfrac{2}{3}\\r=\dfrac{1}{2}$

The sum exists if $|r|$

$\left|\dfrac{1}{2}\right|$ therefore the sum exists

$\displaystyle\\\sum_{k=0}^{\infty}ar^k=\dfrac{a}{1-r}$

$\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{1}{6}+\ldots=\dfrac{\dfrac{2}{3}}{1-\dfrac{1}{2}}=\dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}=\dfrac{2}{3}\cdot 2=\dfrac{4}{3}$

5 0

3 years ago

The temperature outside dropped 13 degrees Fahrenheit in 7 hours. The final temperature was -2 degrees Fahrenheit. What was the

Whitepunk [10]

Answer:

11 degrees.

Step-by-step explanation:

-2 + 13 = 11 Good luck man! :)

4 0

3 years ago