Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
So.... there are 10 crayons and 8 are yellow.
This means that 8/10 of the crayons are yellow.
So the chance of picking a yellow one is 80%.
To get this, you need to do 8/10 and make it over 100, which is 80/100. Then, you turn this number into a percent by just dropping the 100 and adding a % to 80 (it's this easy if the bottom denominator is 100)
The work should look something like this;
8:10
8/10
80/100
80%
So, there is an 80% chance that the crayon you pick will be yellow. Any questions?
Slope is 7/3
Step-by-step explanation:
- Step 1: The equation of the line is 17 + 3y = 7x. Find the slope.
Slope intercept form is y = mx + b, where m is the slope.
⇒ 17 + 3y = 7x
⇒ 3y = 7x - 17
⇒ y = 7/3 x - 17/3
m = 7/3
⇒ Slope is 7/3
Basically what you have to do is take the x which for the first question would be -2 and you would subtract it by 1 and you would get -1and then you would do the same thing so on and so forth.
If that doesn't help then just plug the X into the equation
Answer:
package with 2.09 pounds
Step-by-step explanation:
When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.
to round 2.56 to the nearest whole number equals 3.
While to round 2.09 to the nearest whole number equals 2.
Because Emma needs 2 pounds, she would go with 2.09 pounds
