All categories

3 years ago

I need to find the value of x

Mathematics

1 answer:

Bond [772]3 years ago

5 0

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = $\frac{168}{7}$

x = 24

Therefore, value of x = 24

You might be interested in

In how many arrangements can 3 boys and 4 girls stand in a row such that no two boys are together?

S_A_V [24]

The answer is C :)

C

6 0

4 years ago

ANSWER THIS FOR ME PLEASEEE !!

maw [93]

Answer:

Its is the second bubble! Hope this is right!

Step-by-step explanation

They have 100 squares, 75 are shaded, Its a fraction 75 over 100!

6 0

4 years ago

Graph a parabola whose x-intercepts are at x=-3 and x=5 and whose minimum value is y=-4

docker41 [41]

Answer:

(See explanation for further details)

Step-by-step explanation:

The standard equation of the parabola is:

$y + 4 = C \cdot (x-k)^{2}$

The formula is now expanded into a the form of a second-order polynomial:

$y + 4 = C\cdot x^{2} -2\cdot C\cdot k \cdot x +C\cdot k^{2}$

$y = C\cdot x^{2} - (2\cdot C \cdot k) \cdot x + (C\cdot k^{2}-4)$

The general equation of the second-order polynomial is:

$x = \frac{2\cdot C \cdot k \pm \sqrt{4\cdot C^{2}\cdot k^{2}-4\cdot C\cdot (C\cdot k^{2}-4)}}{2\cdot C}$

$x = k \pm \frac{\sqrt{C^{2}\cdot k^{2}-C^{2}\cdot k^{2}+4\cdot C}}{C}$

$x = k \pm 2\cdot \frac{\sqrt{C}}{C}$

$x = k \pm \frac{2}{\sqrt{C}}$

The equations to be solved are presented herein:

$-3 = k -\frac{2}{\sqrt{C}}$

$5 = k + \frac{2}{\sqrt{C}}$

Now, the solution of the system is:

$-3 +\frac{2}{\sqrt{C}} = 5 -\frac{2}{\sqrt{C}}$

$\frac{4}{\sqrt{C}} = 8$

$\sqrt{C} = \frac{1}{2}$

$C = \frac{1}{4}$

$k = 5 - \frac{2}{\sqrt{\frac{1}{4} }}$

$k = 1$

The equation of the parabola is:

$y = \frac{1}{4}\cdot (x-1)^{2} -4$

Lastly, the graphic of the function is included as attachment.

3 0

3 years ago

Can somebody please explain to me how to do this !!!?

gizmo_the_mogwai [7]

Answer:

Slope is 4

Step-by-step explanation:

Take a y value (like 18) and subtract it with another y value (14). This will be 4. Now take a x value corrleating with your y value (like 4 since it correlates with 18) and subtract is with another x value correlating with your other y value (it'll be 3 because it's correlating with 14). The x will become 1. Now divide the y and x, so it will be 4 b/c it's 4 divided by 1.

7 0

3 years ago

Suppose that $8500 is placed in an account that pays 12% Interest compounded each year.

Nitella [24]

A) 7480$ will be in the account at the end of one year.
B) $6460 will be in the account at the end of 2 years.

3 0

3 years ago