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sashaice [31]
3 years ago
7

How to answer this problem

Mathematics
1 answer:
tangare [24]3 years ago
4 0
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
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Solve photo question, please. Mathematics.
skelet666 [1.2K]
Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)


1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂) 
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
(4,10)
m=1/2

y-y₀=m(x-x₀)
y-10=(1/2)(x-4)

we make the standard form
y-10=x/2 - 2

Lowest common multiple=2

2y-20=x-4
-x+2y=-4+20
-x+2y=16

Answer:  -x+2y=16


3 0
3 years ago
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,034 was collected on the sale of 1,226 ticket
Mila [183]
452 adult tickets were sold.
774 student tickets were sold.
6 0
3 years ago
Gordon types 1800 words in 25 minutes. word per minute
Gennadij [26K]

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

4 0
3 years ago
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer
Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of <em>that</em> and add this to the price.

Solve:

105 • 0.65 = 68.25                      Find 65% of 105

105 + 68.25 = 173.25                  Add the markup to the price

173.25 • 0.20 = 34.65                 Find the discount of the new price

173.25 - 34.65 = 138.60              Subtract discount from price

138.60 • 0.075 = 10.395             Find sales tax of new price (Or round to 10.40)

<u>138.60 + 10.395 = </u><u>148.995</u><u>         Add sales tax to new price (Or </u><u>149</u><u>)</u>

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

3 0
3 years ago
Read 2 more answers
1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
2 years ago
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