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just olya [345]
3 years ago
7

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seco

nds number and 5 what which equation can show this x represent the second number
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
First number=1/2x+3
first number=1/4x+5
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Given a || b , and c is not parallel to a or b, which statements
Lapatulllka [165]

Answer:

C. m∠4 = m∠8

D. m∠2 = m∠7

Step-by-step explanation:

Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.

From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;

m∠4 = m∠8  (corresponding angles)

and

m∠2 = m∠3 (vertically opposite angles)

m∠3 = m∠7 (corresponding angles)

So that,

m∠2 = m∠7  

Thus in the question, statements C and D are true.

7 0
3 years ago
Please help? <br> Find measure of angle C
Lelu [443]

Answer:

82

Step-by-step explanation:

Im pretty sure the answer is 82 as it's a striaght line and all you have to do is subtract 180-98

4 0
3 years ago
What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


That is;


\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


n=12


Also, the row three-column three entries of both matrices will give us the equation;


m-5=40


m=45


Hence the correct answer is m=45,n=12.


The correct option is option 2






6 0
3 years ago
codys bikes rents bikes for $18 plus $5 per hour. mofor paid $48 to rent a bike. For how many hours did he rent the bike?
DerKrebs [107]
First of all, to find out the amount paid for hours in total,
$48-$18=$30
to find how many hours,
$30÷$5=6hrs
3 0
3 years ago
Read 2 more answers
Help me please no links
g100num [7]

Answer: C

3sqrt2

Step-by-step explanation:

6 0
3 years ago
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