Answer:
(0,5)
Step-by-step explanation:
70/3
6x > 220 - 80
220 - 80 = 140
6x > 140
Divide 6 on all terms & simplify.
6x/6 > 140/6
Divide x by 1 and cancel common factor 140/6
x > 140/6
Factor 2 out of 140
x > 2(70) / 6
Cancel common factors
Factor 2 out of 6
x > 2 • 70 / 2 • 3
Cross out both of the 2’s and rewrite expression
x > 70/3 or (70/3 , ♾ )
Answer:
4/9
Step-by-step explanation:
0.4444... can be written as a geometric series with first term 0.4 and common ratio 0.1. Each new digit is 0.1 times the previous digit.
0.4
Then 0.4444... = ------------ = 0.4/0.9 = 4/9
1 - 0.1
You may check this result by dividing 4 by 9 on a calculator.
Hello there!
The sum of two numbers (x + y) is 8 (=8).
Their product (x * y) is 15 (=15).
x + y = 8
x * y = 15
First, we know that the two number must be positive and under 8, as the product is positive.
Let's list out some numbers that are from 1 to 8 that sum up to 8;
1 + 7
2 + 6
3 + 5
4 + 4
Now, we need to multiply the two numbers that add up to 8, and see which makes a product of 15.
1 * 7 = 7, this does not work.
2 * 6 = 12, this does not work.
3 * 5 = 15, this works!
4 * 4 = 16, this does not work.
Since we are looking for the larger number in our pairs, let's pick the largest one out of the correct pair, which is 5.
The largest number is 5.
I hope this helps!
Answer:
m∠1=80°
m∠2=112°
m∠3=131°
m∠4=80°
m∠5=37°
Step-by-step explanation:
First you have to find m∠2
To do that find m∠6 (I created this angle shown in pic below)
Find m∠6 by using the sum of all ∠'s in a Δ theorem
m∠6=180°-(63°+49°)
m∠6=68°
Now you can find m∠2 with the supplementary ∠'s theorem
m∠2=180°-68°
m∠2=112°
Then you find m∠5 using the sum of all ∠'s in a Δ theorem
m∠5=180°-(112°+31°)
m∠5=37°
Now you can find m∠1
m∠1=180°-(63°+37°)
m∠1=180°-100°=80°
m∠4 can easily be found too now:
m∠4=180°-(63°+37°)
m∠4=80°
m∠3=180°-49°
m∠3=131°