Answer:
sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup sup
Answer:
Four hundred Thirty-three and thirty-eight hundredths
Step-by-step explanation:
the four is four hundred
the two three's after the four are thirty-three
and the three and eight after the decimal are thirty-eight hundredths
Answer:
(2^2)(z^7)
Explanation:
The quotient rule states that if two powers have the same base and are on opposite places of a fraction (one is on the numerator, the other on the denominator), you subtract the exponents.
First looking at the powers with the bases of 2, 2^8 is the numerator and 2^6 is the denominator. When we subtract 8-6 we get 2, so 2^8/2^6 would simplify to 2^2.
Then, we look at the powers with the base of z. z^10 is the numerator and z^3 is the denominator. When we subtract 10-3 we get 7, so z^10/z^3 would simplify to z^7.
I hope this helps! Please comment if you have any questions:)
Answer: 17 hours
Step-by-step explanation: she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
*see attachment for diagram
Answer:
✔️m<BAC = 72°
✔️m<BCD = 108°
Step-by-step explanation:
Given:
m<ABC = (4x - 16)°
m<ACB = (5x + 7)°
Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.
First we need to determine the value of x.
The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.
Therefore:
(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)
Solve for x
4x - 16 + 10x + 14 = 180
Add like terms
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
x = 13
Find the measure of each angle by plugging in the value of x where necessary:
✔️m<ABC = (4x - 16)° = 4(13) - 16
m<ABC = 36°
✔️m<ACB = (5x + 7)° = 5(13) + 7
m<ACB = 72°
✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)
Therefore,
m<BAC = 72°
✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)
m<BCD = 36 + 72 (Substitution)
m<BCD = 108°
Therefore, the angle measures that are correct are:
✔️m<BAC = 72°
✔️m<BCD = 108°
