Answer:
x=20
Step-by-step explanation:
By the Triangle Sum Theorem, the angles of a triangle add up to 180. So we can set up the equation like this:
2x-10+70+4x=180
Combine Like terms
6x+60=180
Subtract 60 from both sides
6x=120
Divide by 6 to isolate the variable
x=20
Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.
<u>Step-by-step explanation</u>:
Total number of envelopes = 150
<u>The cost of envelopes :</u>
- Pack of 25 envelopes in shop 1 = 3.49
- Pack of 10 envelopes in shop 2 = 2.10
- Buy 2 packs get 1 pack free in shop 2.
<u>Shop 1 :</u>
The number of packs to buy 150 envelopes = 150 /25 = 6 packs
The total cost to buy 6 packs = 6 × 3.49 = 20.94
The cost of 150 envelopes in shop 1 is 20.94
<u>Shop 2 :</u>
The number of packs to buy 150 envelopes = 150 /10 = 15 packs
- For each 2 packs you get 1 pack free.
- 10 packs + 5 free packs = 15 packs
The total cost to buy 10 packs = 10 × 2.10 = 21
The cost of 150 envelopes in shop 2 is 21
The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06
Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.
Final Answer: 
Steps/Reasons/Explanation:
Question: Solve the equation 
.
<u>Step 1</u>: Multiply both sides by 
.
×
<u>Step 2</u>: Simplify 
× to 
.
~I hope I helped you :)~
Answer:
25/100 which can be reduced to 1/4
Step-by-step explanation:
there are 25 cents in a quarter
there are 100 cents in a dollar
so the ratio is 25/100 which can be reduced to 1/4
We have been given a circle. We are asked to find the measure of arc MN.
We know that the measure of all arcs in a circle is equal to 360 degrees. SO we can set an equation as:
Upon substituting our given values, we will get:
Therefore, measure of arc MN is 66 degrees and option 'c' is the correct choice.
