All categories

4 years ago

What is the GCF of 45 and 72?

Mathematics

2 answers:

andre [41]4 years ago

7 0

Answer:

The common factors of 45 and 72 are 9, 3, 1

Step-by-step explanation:

agasfer [191]4 years ago

4 0

Answer:

The GCF of these two numbers is nine.

Step-by-step explanation:

They share three common factors: 1, 3 and 9. The greatest out of all of those is 9. Hope this helps!

You might be interested in

What number is 80% of 90%?

storchak [24]

Answering so you can mark the other person brainliest

6 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

The box-and-whisker plot below shows the age distribution of people at a family reunion.

Wewaii [24]

Answer: answer is c

Step-by-step explanation: quizlet

4 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x-3y%3D-8%7D%20%5Catop%20%7Bxy%3D12%7D%7D%20%5Cright." id="TexFormul

nignag [31]

Answer:

$\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\$

<=> 5x = 3y - 8

3y + 10 = 0 or y - 6 = 0

<=> 5x = 3y - 8

y = -10/3 or y = 6

+) with y = -10/3 => 5x = -10 - 8 <=> 5x = -18 <=> x = -3.6

+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6

Step-by-step explanation:

5 0

3 years ago

What's numbers 21 and 22 thx!

Naya [18.7K]

21: N = 25.

22:

1: 19
2: 30

5 0

3 years ago