Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
Answer:No
Step-by-step explanation:
You subtitute the x value
Answer:
3x + y = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Distributive Property
- Equality Properties
<u>Algebra I</u>
Standard Form: Ax + By = C
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
[PS] y - 11 = 3(x - 2)
<u>Step 2: Rewrite</u>
<em>Find Standard Form</em>
- Distribute 3: y - 11 = 3x - 6
- Subtract 3x on both sides: -3x - y - 11 = -6
- Add 11 to both sides: -3x - y = 5
- Factor -1: -1(3x + y) = 5
- Divide -1 on both sides: 3x + y = -5
Answer:
5.1x - 1.49y
Step-by-step explanation:
We need to add or substract like terms.
like terms are the terms that have the same variable, in this case:
3.27x and 1.83x are like terms, and adding them we get:
3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)
we do the same for the terms with 'y':
1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:
1.28y −2.77y = -1.49y
the final answer is the conjunction of the two results that we obtained:
5.1x - 1.49y
