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murzikaleks [220]
3 years ago
13

Can someone please help me with this problem

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

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What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
In-s [12.5K]

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

\longrightarrow 15x + 18y = 270

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

\longrightarrow 18y = -15x +270\\

\longrightarrow y =\dfrac{-15x+270}{18}\\

\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\

\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4}

Recall the slope intercept form of the line which is <u>y</u><u> </u><u>=</u><u> </u><u>mx</u><u> </u><u>+</u><u> </u><u>c</u><u> </u>.On comparing to which we get ,

\longrightarrow m =\dfrac{-5}{6}

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)

Hence ,

\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}

And we are done !

6 0
3 years ago
Read 2 more answers
1+h+j.h÷4; use h=8, and j=2​
horrorfan [7]

Answer:

1+8+2/4 = 9.5

Step-by-step explanation:

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8 0
3 years ago
BRAINLIEST!!!
Trava [24]

Answer:

I think the answer would be option C.

Step-by-step explanation:

in option A.the centre is not point A.

in option B.the centre is point A. but is not dialated by 0.75.

in option C.the centre is again point A. and is dialated by 0.75

in option D.the centre is point A. but has dialated more than 0.75

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4 years ago
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Mariela earned the following test scores in math: 95, 90, 100, 85, 80 Mr. Adams accidentally entered Mariela’s next test score a
Vesnalui [34]

Answer:

Before the error, the mean and the median were both 90.

The error added an outlier to the data set.

After the error, the mean was 75 and the median was 87.5

The mean was impacted by the error more than the median

Step-by-step explanation:

First is to put the data in order from smallest to largest

80,85,90,95,100

The mean is add up the data and divide by the number of points.  The median is the middle of the data  

Mean = (80+85+90+95+100)/5=450/5 = 90

Median = 90

When a 0 is added

0, 80,85,90,95,100

There is now an outlier, which is a data point far away from the others

Mean = (0+80+85+90+95+100)/6=450/6 = 75

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When the data set is even, take the two middle numbers and average them

The mean was impacted more than the median.  It went from 90 to 75, where the median went from 90 to 87.5

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3 years ago
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