Answer:
2. -1/3x > 12
3. 5+x > 7
4.10-x < 30
5. 2+5x ≤ 3
6.6-2x ≥ 17
Step-by-step explanation:
<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Answer:39 hours
Step-by-step explanation:First, let's find the rate of money per hour:$554.30 / 23 hour= $24.1 / 1 hourDaniel earns $24.10 every hour he works.To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:$939.90 / 24.10= 39Now, we can check:$24.10 * 39= $939.90
two angles are coterminal, namely land on the same spot on the circle.
let's check.
let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.
1965 ÷ 360, gives us a quotient of 5 with some remainder.
5 * 360 = 1800, 5 full circles
if we subtract the full circles from 1965
1965 - 1800 = 165
low and behold, the remainder from that division is 165° ✔
in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.
Answer:
121 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplement is 180-x degrees.
So we have the equation:
x = 2(180-x) + 3
x = 360 - 2x + 3
3x = 363
x = 121.
