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lisov135 [29]
3 years ago
8

3. Find the larger of the two consecutive integers

Mathematics
1 answer:
Gelneren [198K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

a and a+1 are consecutive integers

2(a+1)-5=a;  2a+2-5=a;  a=5-2=3;  a+1=3+1=4

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2. One angle is one less than six times the measure of
Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

<em><u>Solution:</u></em>

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of  another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0
3 years ago
Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes
monitta
<h2>Greetings</h2>

Answer:

Yes, they are.

Step-by-step explanation:

<h3>1st rate)</h3>

Lets simplify both rates to the rate typer per minute.

(m is minutes)

3m = 96

Divide both sides by 3:

\frac{3m}{3} = \frac{96}{3}

m = 32

So the rate is 32 words per minute.

<h3>2nd rate</h3>

5m = 160

Divide both sides by 5:

\frac{5m}{5} = \frac{160}{5}

m = 32

<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
3 0
2 years ago
What is the solution set of {x|x&lt;-3} intersection {x|x&gt;5}?
ziro4ka [17]
There’s no solution because x is less than 3 there is no way is greater than 5.

Hope this helps!
8 0
2 years ago
if the diameter of the table cloth measures 50 inches which measurement is closest to the area of the tablecloth
never [62]
 50 x 3.14 = 157  i think this is the answer
3 0
2 years ago
15 people shared 65 1/2 acres of land. How much did each get?
beks73 [17]

You need to divide 65 1/2 by 15.

65 \dfrac{1}{2} \div 15 =

= \dfrac{131}{2} \div \dfrac{15}{1}

= \dfrac{131}{2} \times \dfrac{1}{15}

= \dfrac{131 \times 1}{2 \times 15}

= \dfrac{131}{30}

= 4 \dfrac{11}{30}

Each one got 4 \dfrac{11}{30} acres.


3 0
3 years ago
Read 2 more answers
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