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Reptile [31]
3 years ago
9

How do you fine the answer ? Help me pls

Mathematics
2 answers:
statuscvo [17]3 years ago
5 0

Answer:

<u><em>120.</em></u>

Step-by-step explanation:

<em>Let the common difference be d. Then these equations are true, </em>

<em>so add all the left sides and all the right sides: </em>

<em> </em>

<em>                y = 30-d </em>

<em>                x = 30-2d </em>

<em>                z = 30+d </em>

<em>                f = 30+2d </em>

<em>------------------------- </em>

<em>          y+x+z+f = 120 </em>

<em> </em>

<em>Notice that there are lots of different possibilities for x,y,z,f. </em>

<em> </em>

<em>For example the arithmetic sequence could be  </em>

<em> </em>

<em>10 20 30 40 50, which have sum 120 with d=10, or </em>

<em> </em>

<em>20 25 30 35 40, which also have sum 120 with d=5, or  </em>

<em> </em>

<em>54 42 30 18 6, which also have sum 120 with d=-12, or any of </em>

<em>an infinite number of possible arithmetic sequences.  But the </em>

<em>sum will always be 120.</em>

Artemon [7]3 years ago
4 0

Answer:

130

Step-by-step explanation:

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5+7k&gt;=-30 and -4k +4&gt;20​
Slav-nsk [51]

Answer:

\large\boxed{-5\leq k

Step-by-step explanation:

5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k

7 0
3 years ago
Find the measure of the indicated arcs or central angles in OA. DG is a diameter.
lara31 [8.8K]

Answer:

Arc DE = 90°

m<GAB = 82°

Arc DC = 49°

Step-by-step explanation:

Given:

m<EAF = 74°

m<EAD = right angle = 90°

Arc BG = 82°

Required:

Arc DE,

<GAB, and

Arc DC

Solution:

Recall that the central angle measure = the intercepted arc measure.

Therefore:

✔️Arc DE = m<EAD

Arc DE = 90° (Substitution)

✔️m<GAB = arc BG

m<GAB = 82° (Substitution)

✔️Arc DC = m<CAD

Find m<CAD

m<CAD = ½(180 - m<GAB)

m<CAD = ½(180 - 82)

m<CAD = 49°

Arc DC = m<CAD

Arc DC = 49°

6 0
3 years ago
The segment drawn from a vertex in a triangle to the midpoint of the opposite side.
AVprozaik [17]

check the picture below.

3 0
4 years ago
Read 2 more answers
I want to know the distance
DiKsa [7]

here's the answer to your question

3 0
3 years ago
In the morning before school, Janine spend 1/10 hour making the bed,1/5 hour getting dressed and 1/2 hour eating breakfast. What
padilas [110]

Answer:

4/5 hour . . . . 48 minutes

Step-by-step explanation:

In hours, the total time is ...

... 1/10 + 1/5 + 1/2 = 1/10 + 2/10 + 5/10

... = (1+2+5)/10 = 8/10

... = 4/5

____

You can have a calculator add these numbers for you. Most will report the result as a decimal. There are fraction calculators on-line, if your graphing calculator does not have a fraction display mode.

If you want minutes, multiply the fraction (or decimal) by 60 minutes.

7 0
3 years ago
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