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natka813 [3]
3 years ago
8

I need help with this please

Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

z = 113

y = 31

Step-by-step explanation:

j || n and line a is their transversal. (given)

Therefore,

z° = 180° - 67° (exterior angles on the same side of transversal)

z°= 113°

z = 113

(5y - 88)° = 67° (exterior alternate angles)

5y - 88 = 67

5y = 67 + 88

5y = 155

y = 155/5

y = 31

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If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many if each school must rece
DaniilM [7]
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then 

( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165

For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
8 0
3 years ago
There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are
Shtirlitz [24]
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)=\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3

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5 0
3 years ago
What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis?
Alecsey [184]

Answer:

C.

Step-by-step explanation:

8 0
2 years ago
2. Ramone and his wife had $72,380.90 in combined gross income in 2010. They had $8,295.00 in various adjustments and deductions
MAVERICK [17]
Let x = taxable income = difference of gross income and deductions T = income tax paid = amount sent to the government Use the "filing jointly" chart on the right side. You'll use the second row of that chart since subtracting $72,380.90-$8,295.00 leads to a value between 16750 and 68000. That second row turns into this equation T=1675+0.15(x-16750<span>) w</span>here <span>16750<x≤68000</span>
4 0
3 years ago
The graph of the function f is shown. The domain of f is [0,50]. What is the range of g(x)=4f(x)?
sergij07 [2.7K]

Answer:

The range of g(x) is [0,7].

Step-by-step explanation:

We must remember that range of function f(x) corresponds to the set of values of y in the graph (+y direction). Given that g(x) is a stretched version of f(x), the range of g(x) corresponds to the range of f(x) multiplied by 4. Then,

Ran\{g(x)\} = 4\cdot Ran\{f(x)\}

Ran\{g(x)\} = 4\cdot [0,1.75]

Ran\{g(x)\} = [0, 7]

The range of g(x) is [0,7].

4 0
3 years ago
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