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2 years ago

Find the value of x in each case. PLEASE SHOW WORK!!!

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

$m\angle BCA=180^o-5x$

$\angle CAB=\angle ACD\\\\m\angle CAB=33^o$

In the triangle ABC:

$m\angle ABC+m\angle BCA+m\angle CAB=180^o\\\\2x+180^o-5x+33^o=180^o\\\\-3x+213^o=180^o\ \ \ |-213^o\\\\-3x=-33^o\ \ \ |:(-3)\\\\x=11^o$

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A small train at an amusement park is carrying passengers. Half of the passengers are 4 years old, 1/10 are 5 years old, 3/10 ar

drek231 [11]

Your answer is 5, because the majority is 5 years old

8 0

2 years ago

Read 2 more answers

ABC ~ AYZ , what's the value of x?

aleksklad [387]

Answer:

Step-by-step explanation:

6cm

8 0

2 years ago

Write the equation of the line shown in point-slope form. (2,1) (3,8)

Ulleksa [173]

Answer:

The line equation that passes through the given points is 7x – y = 13

Explanation:

Given:

Two points are A(2, 1) and B(3, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ ..........(1)

here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.

Now substitute the values in (1)

$(y-8) = \frac{(1 - 8)}{(2 - 3)}\times(x- 3)$

$(y -8) = \frac{(- 7)}{(-1)}(x-3)$

y – 8 = 7(x – 3)

y – 8 = 7x – 21

7x – y = 21 – 8

7x – y = 13

Hence, the line equation that passes through the given points is 7x – y = 13

3 0

2 years ago

3. Rewrite -2x + 3y = 6 in slope intercept form.

zaharov [31]

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Further explanation:

The standard slope-intercept form is:

$y=mx+b$

Given equation is:

$-2x+3y=6$

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

Adding 2x on both sides

$-2x+3y+2x=6+2x\\3y=2x+6$

Dividing both sides by 3

$\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}$

Simplifying

$y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2$

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

#learnwithBrainly

4 0

2 years ago

If a customer at a particular grocery store uses coupons, there is a 50% probability that the customer will pay with a debit car

AlexFokin [52]

Answer:

A. 0.52

Step-by-step explanation:

Let D be the event that person used Debit card and C b the event that person used coupon.

We have to find the probability of customer does not use coupons given that a customer does not pay with a debit card,

P(C'/D')=P(C')P(D'/C')/[P(C')P(D'/C')+P(D')P(D'/C')]

We are given that P(D)=0.35, P(C)=0.30 and P(D/C)=0.5.

P(D')=1-0.35=0.65

P(C')=1-0.3=0.7

P(D'/C')=0.5.

P(C'/D')=0.7(0.5)/[0.7(0.5)+0.65(0.5)]

P(C'/D')=0.35/[0.35+0.325]

P(C'/D')=0.35/0.675

P(C'/D')=0.5185=0.52

Thus, the probability of customer does not use coupons given that a customer does not pay with a debit card is 0.52.

4 0

2 years ago