Answer:
Step-by-step explanation:
The total length of the belt is:
Answer:
n < -10
Step-by-step explanation:
n+7 < -3
subtract 7 from both sides
n+7-7 < -3-7
n < -10
Answer:
16
Step-by-step explanation:
The mean of a group of values is calculated as
mean =
Given 5 numbers with a mean of 12, then
= 12 ( multiply both sides by 5 )
sum = 60
let the number removed be x , then
= 11 ( multiply both sides by 4 )
60 - x = 44 ( subtract 60 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
The number removed was 16
Answer:
He brought 3 dozen cookies
She ate of the bag of Doritos
She read 25 books
Step-by-step explanation:
∵ Mike makes 4 dozen cookies
∵ He brings 75% of them for a party at his school
- Multiply 75% by 4
∵ 75% =
∴ He brought = × 4
∴ He brought = 3
He brought 3 dozen cookies
∵ Sam bought a bag of Doritos
∵ She ate only 40% of them
∵ 40% =
∴ She ate = × 1
∴ She ate =
She ate of the bag of Doritos
∵ Jamie took 50 books from the library
∵ She only read half of her whole stack
- Multiply half by 50
∴ She read = × 50
∴ She read = 25
She read 25 books
<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>
<em>thus in ΔABC and ΔADC, ∠ABC=∠ADC (given), </em>
<em> ∠BAC=∠CAD [from (1)],</em>
<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>
<em>Hence, by AAS axiom, ΔABC ≅ ΔADC,</em>
<em>Therefore, BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD), since (1)</em>
<em />
Hence, BC=DC proved.