Answer:
<h2><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u> </u></em></h2>
Step-by-step explanation:
In ABC. In DEF
AB. = DE. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>
<BAC. = <EDF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>
BC. = EF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>
<em><u>Hence</u></em><em><u>,</u></em>
Triangle ABC is congruent to Triangle DEF by<em><u> </u></em><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u>. </u></em>
Answer:
A is correct.
Explanation:
Given: (7,5) where (x, y)
Identify:
x = 7
y = 5
<u>Go 7 units through x-axis, then move up 5 units along the y-axis.</u>
So lets take a look at what we know:
5% of the tickets were discount
100% of the tickets is equal to 60 tickets
From this information we can create the proportion:
.
Cross Multiply to get
Divide 100 on each side to get
.
Three discount tickets were sold.
Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
