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Simora [160]
3 years ago
11

Find the value of x. Then find the measure of each interior angle. Show work algebraically

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

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The graph of an equation with a negative discriminant always has which characteristic?
spin [16.1K]

Answer:

The graph does not intercept the x-axis

Step-by-step explanation:

Hi there!

When the discriminant is positive, it means that in the quadratic equation, you <em>can</em> take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.

When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.

When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.

I hope this helps!

7 0
3 years ago
Evaluate t-u/v, when t=-1,u=-3 and v=1/2
mars1129 [50]

Answer:

5

Step-by-step explanation:

t-u/v

substitute (-1) - (-3)/(1/2)

divide     (-1) - (-6)

simplify   (-1) + 6

add         5

3 0
3 years ago
A problem states: "There are 7 more girls than boys in a club. There are 23 members in the club in all. How many girls are there
dlinn [17]

Answer:

Step-by-step explanation:

Number of boys = g - 7.

g - 7 + g = 23

2g = 30

g = 15.

The are 15 girls in the class.

3 0
3 years ago
Read 2 more answers
HELP PLS THIS IS HARD WLH
AnnyKZ [126]

Answer:

D

Step-by-step explanation:

A'(-2*3/2=-3,3*3/2=4.5), B'(-6,-6), C'(6,0), D'(7.5,6)

8 0
2 years ago
19. A quadratic equation is shown below.
victus00 [196]

Answer:

\{\sqrt b, -\sqrt b\}

Step-by-step explanation:

Given

a^2 - b = 0

Required

Determine the solution

Since b is  a perfect square, the equation can be expressed as:

a^2 - (\sqrt b)^2 = 0

Apply difference of two squares:

(a - \sqrt b)(a + \sqrt b) = 0

Split:

(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0

Remove brackets:

a - \sqrt b= 0 \ or\ a + \sqrt b = 0

Make a the subject in both equations

a =\sqrt b \ or\ a  =-\sqrt b

The solution can be represented as:

\{\sqrt b, -\sqrt b\}

6 0
3 years ago
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