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3 years ago

What is the common factor of 49 and 50?

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

The factors of 49 are: 1, 7 and 49.
The factors of 50 are: 1, 2, 5, 10, 25 and 50.

The common factor is 1.

Reika [66]3 years ago

6 0

$49|7\\ 7 \ |7 \\ 1 \\ \\ 49=7^2 \\ \\ 50|2\\25|5\\5\ |5 \\1\\\\50=2*5^2 \\ \\ G.C.F(49;50)=2450$

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Each factory at a candy company has 498 workers. There are 12 factories. )

harkovskaia [24]

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

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2 years ago

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Select the postulate or theorem that you can use to conclude that the triangles are similar.

insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

$\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\implies \frac{QN}{MN} = \frac{NR}{NP}$

Also,

$\angle QNR\cong \angle MNP$ (Reflexive)

Thus, By SAS similarity postulate,

$\triangle QNR\sim\triangle MNP$

⇒ Option first is correct.

8 0

3 years ago

Each month cameron budgets $1040 for fixed expenses $980 for living expenses and $120 for annual expenses his annual net income

sineoko [7]

Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.

Every month Cameron spends 1040 + 980 + 120 = 2140

To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680

This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:

(1040 + 980 + 120 - 129) = 2011

2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.

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3 years ago

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35% is 7 out of what number?

o-na [289]

Answer:

The number is <u>20</u>.

Step-by-step explanation:

In this question, it is said that 35% of a number is equal to 7, then what is that number?

So, let the number be <em>x</em>.

Now, according to the question :

$\begin{gathered} \begin{array}{l} \quad{\dashrightarrow{\sf{35 \% \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \times x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35 \times x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{x = 7 \times \dfrac{100}{35}}}}\\\\\quad{\dashrightarrow{\sf{x =\dfrac{700}{35}}}}\\\\ \quad{\dashrightarrow{\sf{x = \cancel{\dfrac{700}{35}}}}}\\\\ \quad{\dashrightarrow{\sf{x =20}}}\\\\ \quad{\star{\underline{\boxed{\tt{\red{x =20}}}}}} \end{array}\end{gathered}$

Hence, the number is 20.

$\rule{300}{2.5}$

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2 years ago

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If NTM is congruent to OUM, SP is congruent to SQ, S is the center of the circle, and OM = 18, find NT. Round the answer to the

Aleks [24]

OM=18, so OQ=QM=18/2=9.
Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
OU=sqrt(153) = 12.37 =13(approx);
From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13

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3 years ago