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Dennis_Churaev [7]
2 years ago
9

On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120°. Which statements about this t

riangle are true? Select all correct answers. The third angle measures 30°. Two sides have the same length. The third angle measures 75°. The third angle measures 90°. All sides have different lengths.
Mathematics
2 answers:
taurus [48]2 years ago
4 0

Answer:

A. The third angle measures 30*

B. Two sides have the same length

tekilochka [14]2 years ago
4 0

Answer:

A. The third angle measures 30*

B. Two sides have the same length

Step-by-step explanation:

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What is the vertex of the parabola given by the equation y x^2+ 4?
max2010maxim [7]

Format of Quadratic Equation:  y = ax2 + bx + c

Given Quadratic Equation:  y = 2x2 - 3x + 3

Coefficient Variable Values:  a = 2 and b = -3 and c = 3

Axis of Symmetry:  x = -b/2a = -(-3)/2(2) so answer is x = 3/4

Vertex:  x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation:  y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)

x intercepts (solve using quadratic formula):  x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7

y intercept is calculated by substituting zero for x into original equation:  y = 2x2 - 3x + 3, so y-intercept is 3.

Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)

Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity).  Note:  infinity symbol is sideways 8.         

4 0
3 years ago
Read 2 more answers
The difference of 6 and twice a number of is negative 18
Darya [45]

Answer:

1.

Step-by-step explanation:

1. 2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

8 0
2 years ago
This ten frame shows 5+8. Draw to make 10. Then write the new fact.
o-na [289]
10=5+8=13-3 hope  it helps!
8 0
3 years ago
Find the slope of the line whose equation is 15 + 3x = 2y.
Korvikt [17]
15+3x=2y
2y=3x+15
y=\frac{3}{2} x+ \frac{15}{2}
Gradient, m= \frac{3}{2}
6 0
2 years ago
Read 2 more answers
Evaluate 3f(2) what is it
Georgia [21]

Answer:

12

Step-by-step explanation:

Edge2021

3 0
3 years ago
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