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3 years ago

Find the value of each variable. line / is a tangent

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Check the picture below.

for "b", well, recall that the sum of all interior angles in a triangle is 180°.

for "a", "c" and "d", well, all those are just <u>intercepted arcs</u>.

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Rectangle OPEN has diagonals intersecting at S. If m∠ENP=42 find m∠ EON, m∠ONP, m∠OSP, and m∠PSE

poizon [28]

Answer:

m∠EON = 48°

m∠ONP = 48°

m∠PSE = 90°

4 0

3 years ago

Pls help i will give u brianliest

Fynjy0 [20]

Answer:

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

Step-by-step explanation:

We can take any two input-output pairs from the table to find the equation of given function.

Linear function is given by:

$y =mx+b$

Here m is the gradient of the functions which is defined as:

$m = \frac{rise}{run} = \frac{y_2-y_1}{x_2-x_1}$

The input-output pairs are:

(x1,y1) = (-1,-1)

(x2,y2) = (0,-4)

First of all,

$m = \frac{-4-(-1)}{0-(-1)}\\= \frac{-4+1}{1} = -3$

Putting the value of slope in the equation

$y = -3x+b$

Putting (-1,-1) in the equation

$-1 = -3(-1)+b\\-1 = 3+b\\b = -1-3\\b = -4$

The equation will be:

$y = -3x-4$

Hence,

Slope = -3

y-intercept = (0,-4)

Equation: y = -3x-4

7 0

3 years ago

The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1

bekas [8.4K]

$5.15 - w = minimum wage in 1996

(if that wasn't what you were looking for then comment what you really wanted)

8 0

3 years ago

1) Last Tuesday, Regal Cinemas sold a total of 85 movie tickets. Ticket sales totaled

irakobra [83]

In this question, some of the data is missing so its a complete question and the solution can be defined as follows:

$\bold{\text{m = matinee tickets}} \\\\\bold{\text{s = student tickets}}\\\\\bold{\text{r = regular tickets}}$

By given question, calculating equations are:

$\to \bold{m + s + r = 8500}............................................(a)\\\\\to \bold{5m + 6s + 8.50r = 64600}............................(b)\\\\\to \bold{s = 2m}...................(c)$

Putting the equation (c) value in the equation (a) to calculate value:

$m + 2m + r = 8500\\\\3m + r = 8500\\\\r = 8500 - 3m........................................(d)$

Putting equation (c) and (d) value into equation (b):

$5m + 6(2m) + 8.50(8500 - 3m) = 64600\\\\5m + 12m + 72250 - 25.50m = 64600\\\\-8.50m = 64600 - 72250 \\\\-8.50m = -7650\\\\m = \frac{-7650}{-8.50}\\\\m = \frac{7650}{8.50}\\\\m = 900$