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3 years ago

In triangle abc shown below side ab is 6 and side ac is 4

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

lilavasa [31]

Answer:

(5a−3)^2

Step-by-step explanation:

25a^2 - 30a + 9

Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.

p+q=−30

pq=25×9=225

Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.

−1,−225

−3,−75

−5,−45

−9,−25

−15,−15

Calculate the sum for each pair.

−1−225=−226

−3−75=−78

−5−45=−50

−9−25=−34

−15−15=−30

The solution is the pair that gives sum −30.

p=−15

q=−15

Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).

(25a^2−15a)+(−15a+9)

Factor out 5a in the first and −3 in the second group.

5a(5a−3)−3(5a−3)

Factor out common term 5a−3 by using distributive property.

(5a−3)(5a−3)

Rewrite as a binomial square.

(5a−3)^2

3 0

3 years ago

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Le

Contact [7]

Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

x = 40/3

Then we solve for y

y = 20 - x

y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120

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3 years ago

Five times the height of a kakapo minus 70 equals the height of an emu

taurus [48]

I'm assuming you're looking for an equation so this is what it would look like: (k=kakapo, e=emu)

5k-70=e

6 0

3 years ago

On average, Nancy has noticed that 20 trucks pass by her apartment daily (24 hours). In order to find the probability that more

STatiana [176]

Answer:

P(2)=0.256

Step-by-step explanation:

We know that Nancy has noticed that 20 trucks pass by her apartment daily (24 hours). We conclude that for 1 hours, pass 20/24=5/6 trucks.

We calculate how many trucks pass for 3 hours:

3 · 5/6= 15/6=2.5=λ

We use a Poisson distribution:

P(k)=\frac{λ^k · e^{-λ}}{k!}

For 2 trucks we have that is k=2. We know that is λ=2.5

We caclulate the probability

P(2)=\frac{2.5² · e^{-2.5}}{2!}

P(2)=0.256

6 0

4 years ago

The ratio of yellow marbles to purple marbles was 13 to 4. If there was 102 marbles in the bag, how many were yellow marbles?

Pani-rosa [81]

The total number of yellow marbles in the bag was 78 marbles

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The ratio of yellow marbles to purple marbles in the bag = 13 : 4

Let the total number of yellow marbles in the bag be = 13x

Let the total number of purple marbles in the bag be = 4x

Now , the equation will be

The total number of marbles in the bag = 102

So , substituting the values in the equation , we get

The total number of marbles in the bag = total number of yellow marbles + total number of purple marbles

The total number of marbles in the bag = 13x + 4x

13x + 4x = 102

17x = 102

Divide by 17 on both sides of the equation , we get

x = 6

Therefore , substituting the value of x in the above expressions , we get

Total number of yellow marbles in the bag = 13x

Total number of yellow marbles in the bag = 13 x 6

Total number of yellow marbles in the bag = 78 marbles

And ,

Total number of purple marbles in the bag = 4x

Total number of purple marbles in the bag = 4 x 6

Total number of purple marbles in the bag = 24 marbles

Hence , The total number of yellow marbles in the bag was 78 marbles

To learn more about proportion click :

brainly.com/question/7096655

#SPJ1

3 0

1 year ago