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3 years ago

What is the measure of angle x?

Mathematics

2 answers:

nika2105 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

x = 180 - 19 - 33 = 128

Inga [223]3 years ago

3 0

Answer:

128 degrees

Step-by-step explanation:

the sun of angels in a triangle is 180, add 33 and 19 and u get 52, subtract that from 180 and u get 128.

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Please help!!As soon as possible!!

pychu [463]

Answer: Their equations have different y-intercept but the same slope

Step-by-step explanation:

Since, the slope of the line passes through the points (2002,p) and (2011,q) is,

$m_1 = \frac{q-p}{2011-2002} = \frac{q-p}{9}$

Similarly, the slope of the line asses through the points (2,p) and (11,q) is,

$m_2 = \frac{q-p}{11-2} = \frac{q-p}{9}$

Since, $m_1 = m_2$

Hence, both line have the same slope.

Now, the equation of the line one having slope $m_1$ and passes through the point (2002,p) is,

$y - p = \frac{q-p}{9}(x-2002)$

Put x = 0 in the above equation,

We get, $y = \frac{2000(p-q)}{9}+p$

The y-intercept of the line one is $(0, \frac{2000(p-q)}{9}+p)$

Also, the equation of second line having slope $m_2$ and passes through the point (2,p)

$y-p=\frac{q-p}{9}(x-2)$

Put x = 0 in the above equation,

We get, $y = \frac{2(p-q)}{9}+p$

The y-intercept of the line one is $(0, \frac{2(p-q)}{9}+p)$

Thus, both line have the different y-intercepts.

⇒ Third option is correct.

6 0

3 years ago

3x – y = -1 x – 2y = -12

Leviafan [203]

The solution to the system of equation is (2, 7)

<h3>System of equation</h3>

Given the system of equation expressed as:

3x – y = -1 * 2

x – 2y = -12 * 1

________________

6x – 2y = -2

x – 2y = -12

Subtract to have;

6x-x = -2-(-12)

5x = 10

x = 2

Substitute x = 2 into 2 to have:

2 - 2y = -12

-2y = -14

y = 7

Hence the solution to the system of equation is (2, 7)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

8 0

1 year ago

Does this graph represent a function? Why or why not?

Dafna1 [17]

A. Yes because it passes the vertical line test

6 0

3 years ago

Read 2 more answers

The Rawlins family has travelled 600 km on their vacation. This has taken them 8 hours. If they continued at the same rate, how

spin [16.1K]

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- Time taken by family to travel 600 km is 8 hours

CALCULATIONS :-

To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour

Distance traveled in 1 hour = 600 km ÷ 8

= 75 km

Time required to travel 2100 km = 2100 ÷ 75

= 28 hours

Therefore time required to travel 2100 km is 28 hours.

6 0

3 years ago

Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0

erastova [34]

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

$15x^2-kx+1=0$ (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

$2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8$

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

$15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}$

Then, the roots of the equation (1) are

D) 1/5 e 1/3

5 0

4 years ago