Answer:
5:11
Step-by-step explanation:
you would say 5 marbles to the amount of the other marbles you have which would be 11
Answer:
y = -31/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 7
5x + 2 = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Define equation: 5x + 2 = 4
- Subtract 2 on both sides; 5x = 2
- Divide 5 on both sides: x = 2/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x - 7
- Substitute in <em>x</em>: y = 2(2/5) - 7
- Multiply: y = 4/5 - 7
- Subtract: y = -31/5
The relationship between the height and shadow length is a direct proportionality type of relationship. That is, the higher the height, the longer the shadow and vice versa. The ratio of height to shadow length is a constant.
Therefore, if x and y are are the length of shadow of tether ball pole and flagpole receptively,
![\frac{6.8}{y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6.8%7D%7By%7D%20)
=
![\frac{3}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%7D%20)
=> y=
![\frac{6.8}{3}x](https://tex.z-dn.net/?f=%20%5Cfrac%7B6.8%7D%7B3%7Dx)
When x= 1.35 m
y=(6.8/3)*1.35 =3.06 m
When x=1.8 m
y= (6.8/3)*1.8 = 4.08 m
When x= 3.75 m
y=(6.8/3)*3.75 = 8.5 m
When x= 0.6
y= (6.8/3)*0.6 = 1.36 m
When x=2
y= (6.8/3)*2 = 4.533 m
Therefore, it is true that B and D are the true answers.
Step-by-step explanation:
Lines AC and BC are radii of the circle, which means that triangle ABC is an isosceles triangle.
Since triangle ABC is an isosceles triangle, the measures of the base angles CBA and CAB are equal.
We know that the measure of angle CBA = 28º so the measure angle CAB must also equal 28º because the base angles of an isosceles triangle are equal.
Line ED is perpendicular to the radius AC and tangent to circle C at point A.
Therfore, angle EAC is equal to 90º and angle DAC is equal to 90º.
Angle DAC is made up of angle CAB and angle DAB.
So the measure of angle DAC (90º) minus the measure of angle CAB (28º) equals the measure of angle DAB.
90º - 28º = 62º
The measure of angle DAB is 62º
Answer:
A
Step-by-step explanation:
∠ AOC = 90° and
∠ AOB + ∠ BOC = ∠ AOC , that is
x + 8 + 2x = 90
3x + 8 = 90 ( subtract 8 from both sides )
3x = 82 ( divide both sides by 3 )
x = ![\frac{82}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B82%7D%7B3%7D)
Then
∠ BOC = 2x = 2 ×
=
≈ 54.67° ( to 2 dec. places )