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SVEN [57.7K]
3 years ago
8

The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5

and another has a degree measure of +2x2 . write an expression for the degree measure of the third angle in the triangle.
Mathematics
1 answer:
salantis [7]3 years ago
7 0
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

     m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

    m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

    m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em>    m₃ = 180 + 3x⁵ - 2x²</em>
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6 0
3 years ago
Read 2 more answers
If DB = 36 and AC = 3x - 3, what is the value of x?
algol13

Answer:

A.) 13

Step-by-step explanation:

Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.

3 0
3 years ago
on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20
Wittaler [7]

Answer:

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be x

Let the share of B be y

Given:

$200 is shared between A and B

So, x+y =\$200\ \ \ \ equation \ 1

Also given;

twice of A's share is less than 3 times than B's share by $20

2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2

Solution:

Now multiplying equation 1 by 3 we get,

3x+3y=600 \ \ \ \ equation \ 3

Now Adding equation 2 and equation 3 we get

(2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116

Now Substituting the value of x in equation 1 we get,

x+y=200\\116+y=200\\y=200-116 = \$84

Hence, Share of A is $116 and Share of B is $84.

8 0
3 years ago
If 2 + 2 = 4 then what does 2 + 3 make?
Goryan [66]
If two plus two is four therefore two plus three is in fact five.
5 0
3 years ago
Read 2 more answers
Drag expressions into order to show how to find 4 × 3/5.
san4es73 [151]

Answer/Explanation:

4 * \frac{3}{5}\\\\= \frac{4}{1} *\frac{3}{5}\\\\= \frac{4*3}{1*5}\\\\= \frac{12}{5}

Without the expressions given, answer by referencing these steps.

4 = 4/1

When multiplying fractions, multiply both numerators and both denominators to get the answer.

In the answer, you may simplify if there are common factors in both the top and bottom number. In this case, 12 and 5 do not have a common factor and is already in the most simplified form.

5 0
4 years ago
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