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choli [55]
3 years ago
10

Tamara is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line m i

s parallel to line n.
Line n is parallel to line m. Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 135 degrees. Segment PQ makes 30 degrees angle with line n and segment PR makes 15 degrees angle with line n.

Which is a true statement she could write?

Question 11 options:

Angle PRQ measures 30°.


Angle PRQ measures 15°.


Angle PQR measures 15°.


Angle PQR measures 45°.
Mathematics
1 answer:
Finger [1]3 years ago
3 0

Answer:

m <PRQ  is 15 degrees.

Step-by-step explanation:

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The pizza only would cost 11.25 dollars

The monthly cost would be 26.25 if he always buys 9 slices per months

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3 years ago
Witch method can be used to find the range of a set of data
Delicious77 [7]

Answer:

you subtract the lowest # in the set of data from the highest #

Step-by-step explanation:

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5 0
3 years ago
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
torisob [31]

The point slope form of the line which passes through the points (-5,-1) and (10,-7) is \fbox{\begin\\\ \math 2x+5y=-15\\\end{minispace}} i.e., \fbox{\begin\\\ \bf option C\\\end{minispace}}.

Further explanation:

It is given that line passes through the points (-5,-1) and (10,-7).

The objective is to determine the point slope form of the line which passes through the points (-5,-1) and (10,-7).

The options given are as follows:

Option A: 2x-5y=-15

Option B: 2x-5y=-17

Option C: 2x+5y=-15

Option D: 2x+5y=-17

Consider the point (-5,-1) as (x_{1},y_{1}) and (10,-7) as (x_{2},y_{2}).

Slope of a curve is defined as the change in the value of y with respect to change in value of x.

The slope of the line is calculated as follows:

\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}

To obtain the value of slope substitute the value of x_{1},y_{1},x_{2},y_{2} in the above equation.

\begin{aligned}m&=\dfrac{-7-(-1)}{10-(-5)}\\&=\dfrac{-6}{15}\\&=\dfrac{-2}{5}\end{aligned}

Therefore, the slope of the line is \fbox{\begin\\\ \math m=\dfrac{-2}{5}\\\end{minispace}}

The general way to express the equation of a line in its point slope form is as follows:

\fbox{\begin\\\ \math (y-y_{1})=m(x-x_{1})\\\end{minispace}}

To obtain the point slope form of the equation of the line substitute the value of m, x_{1} and y_{1} in the above equation.

\begin{aligned}(y-(-1))&=\dfrac{-2}{5}(x-(-5))\\(y+1)&=\dfrac{-2}{5}(x+5)\\5y+5&=-2x-10\\5y+2x&=-15\end{aligned}

From the above calculation it is concluded that the point slope form the equation of a line is \fbox{\begin\\\ \math 5y+2x=-15\\\end{minispace}}

Figure 1 (attached in the end) represents the graph of the function 5y+2x=-15.

This implies that the correct option for the point slope form of the line is option C.

Therefore, the point slope form of the line which passes through the points (-5,-1) and (10,-7) is 2x+5y=-15 i.e., option C.

Learn more:

1. A problem to complete the square of quadratic function brainly.com/question/12992613  

2. A problem to determine the slope intercept form of a line brainly.com/question/1473992

3. Inverse function brainly.com/question/1632445.

Answer details

Grade: High school

Subject: Mathematics

Chapter: Linear equation

Keywords: Equation, linear equation, slope, intercept, x-intercept, y-intercept, intersect, graph, curve, slope intercept form, line, y=3x/2-3, standard form, point slope form.  

6 0
3 years ago
Read 2 more answers
Help me ASAP THE QUESTION IS DESCRIBE ACTIVITES THAT A PERSON A PERSON IN THIS COMMUNITY WIULD HAVE THE OPPORTUNITY TO PARTICIPA
Soloha48 [4]

Answer:

what did people from the Fruitlands community do in the community?

Residents of Fruitlands ate no animal substances, drank only water, bathed in unheated water and "no artificial light would prolong dark hours or cost them the brightness of morning. Additionally, property was held communally, and no animal labor was used.

Step-by-step explanation:

They would get sick from bathing in unheated water, and really scared and spooky because there was no artificial light.

All from my own words, I hope this suites your Question.

<h2>-<u><em>Star</em></u></h2>
3 0
3 years ago
3) 8p + 7q = 43<br>2 -7=-q<br>how can I solve this with substitution?​
Bess [88]

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2-7=-q

------------------

-q=-5

q=5

--------

8p+7(5)=43

8p+35=43

8p=43-35

8p=8

p=8/8=1

6 0
3 years ago
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