Answer:
A
Step-by-step explanation:
Given 2 secants from a point outside the circle.
Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)
(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides
x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides
4x + 12 = 20 ( subtract 12 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → A
<span>Suppose a triangle had two right angles.
The sum of all angles of any triangle is 180</span>°.
The measure of a right angle is 90°.
By difference, the measure of the other angle can be determined.
Since the two angles have a measure of 90° each, then by difference, the measure of the third angle is 180° - (90° + 90°) = 0°.
If the angle is 0°, there would only be two sides.
A triangle has three sides.
Therefore, a triangle can't have two right angles.
Answer:
Reflecting a point across the y-axis -> changes the sign of the x-coordinate
Reflecting a point across both axes -> changes the sign of both coordinates
Reflecting a point across the x-axis -> changes the sign of the y-coordinate
Step-by-step explanation:
Reflections:
- The rule to reflect a point across the y-axis is (-x, y), meaning that the x-coordinate's sign changes.
- Reflecting a point across both axes is the same thing as rotating it 180 degrees, so the rule is (-x, -y). This means that both coordinates' signs change.
- Reflecting a point across the x-axis is (x, -y), meaning that the y-coordinate's sign changes.
Answer:
3/4 of a cookie, if you want a decimal it is 0.75 of a cookie.
Step-by-step explanation:
She has 3 cookies and 3 friends plus herself. So that is 4 people. 3 cookies, divide them by 4 people, which is 3/4, in decimal form it is 0.75