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3 years ago

PLEASE HELP ASAP!!! THIS IS MY LAST QUESTION FOR THE DAY!! SHOW WORK PLEASE

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

ΔHLN ≅ ΔHFC
<u>Reason</u>: ASA

<u>Because:</u>

∠CHF ≅ ∠NHL
HC ≅ HN
∠HCF ≅ ∠HNL

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Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number

likoan [24]

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

4 0

3 years ago

2/5 + 3/8 - Adding fractions

m_a_m_a [10]

Answer:31/40

Step-by-step explanation:

To add you have to have a common denominator. To get that you can multiply each fraction by one in different ways. 2/5 *8/8= 16/40 and 3/8* 5/5= 15/40 and then add those two to give you 31/40.

5 0

3 years ago

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How do you solve problem G ???

yanalaym [24]

I think you add the exponents im not sure haven't done it in long time

4 0

3 years ago

Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.

Veronika [31]

3 times 100 divided by 15 gives us 20%

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3 years ago

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A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$

Square of 9: $9^2=81$ .

Square of mother's age: $1681$

To find mother's age, we need to take positive square root of 1681 as:

$\sqrt{1681}=41$

Therefore, the mother is 41 years old.

4 0

3 years ago