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Sindrei [870]
2 years ago
9

Triangle ABC has angle measures as shown below. Using the information in the

Mathematics
2 answers:
iren [92.7K]2 years ago
4 0
35 + 52 + 3(x + 2) = 180
87 + 3x + 6 = 180 ( add the like terms and use distributive property)
93 + 3x = 180
-93 -93
3x = 87
÷3 ÷3
x = 29
( the sum of all triangle angles is 180)
irina1246 [14]2 years ago
3 0

Answer:

x=29 i know because i put that and it was a 100

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3y-2x=-9 put equation of line in slope intercept form
Allushta [10]

Answer:

Step-by-step explanation:

y=2/3x-3

4 0
1 year ago
2x^2=9-3x <br> Find the factors
d1i1m1o1n [39]

Answer:

x = -3, $ \frac{3}{2} $

Step-by-step explanation:

The given quadratic equation is: $ 2x^2 = 9 - 3x $

This can be written as: $ 2x^2 + 3x - 9 = 0 $

To solve a quadratic equation of the form $ ax^2 + bx + c = 0 $ we use the formula:

           $ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $

Here, a = 2; b = 3; c = - 9

Therefore, the roots of the equation are:

$ x = \frac{- 3 \pm \sqrt{9 - 4(2)(-9)}}{2(2)} $

$ \implies x = \frac{-3 \pm \sqrt{81}}{4} $

$ \implies x = \frac{-3 \pm 9}{4} $

We get two values of 'x', viz.,

x = $ \frac{-3 + 9}{4} $ and $ \frac{- 3 - 9}{4} $

$ \implies x = \frac{6}{4} \hspace{5mm} \& \hspace{5mm} \frac{-12}{4} $

⇒ x = -3, 3/2

Since the factors of the quadratic equation is asked, we write it as:

(x + 3)(x - $ \frac{3}{2} $) = 0

because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.

Multiply (x + 3) and (x - $ \frac{3}{2} $ to see that this indeed is the given quadratic equation.

5 0
3 years ago
How can you tell if an inequality will have a solid line
Virty [35]

Answer:

b. the symbol has or equal to

Step-by-step explanation:

Required

When does an inequality have a solid line

The question is pretty straightforward and the answer is (b) which means that when the symbol has or equal to.

This implies that, the symbol could be:

> or = i.e. \ge

and it could also be:

< or = i.e. \le

Take for instance:

x + 1 \ge 2 and y- 5\le 10

<em>The above expressions will have a solid line</em>

6 0
3 years ago
Which of the following must be true?
IgorLugansk [536]

Answer:

A

Step-by-step explanation:

58=58

8 0
3 years ago
I would like to buy a sandwich and pancakes, which would be $8.50, with a 6% tax and 20% gratuity, how much would that be all in
Luda [366]

Answer:

9.01 maybe my math might be wrong

Step-by-step explanation:

6 0
3 years ago
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