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3 years ago

Which of the following are exterior angles? Check all that apply.

Mathematics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

B. <4

D. <5

Step-by-step explanation:

Exterior angle is the angle found outside the triangle. In the diagram given, angle 5 and angle 4 are located outside of the triangle, therefore, the exterior angles in the diagram given are <4 and <5.

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In a game, a contestant had a starting score of one point. He tripled his score every turn for four turns. Write his score after

snow_tiger [21]

4 to the power of 1 i think thats the answer

6 0

3 years ago

Read 2 more answers

Solve this problem thanks

vovikov84 [41]

The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.

9/y = y/16

y^2 = 9 * 16

y^2 = 144

y = 12

9^2 + 12^2 = x^2

x^2 = 225

x = 15

12^2 + 16^2 = z^2

z^2 = 400

z = 20

From left to right, the sides measure 15, 12, and 20 units.

5 0

4 years ago

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Which expression is equivalent to (5³) ‐²? (4 points)

miss Akunina [59]

Answer:

1. 2³ × 2² = (2 × 2 × 2) × (2 × 2) = 23+2 = 2⁵

2. 3⁴ × 3² = (3 × 3 × 3 × 3) × (3 × 3) = 34+2 = 3⁶

3. (-3)³ × (-3)⁴ = [(-3) × (-3) × (-3)] × [(-3) × (-3) × (-3) × (-3)]

= (-3)3+4

= (-3)⁷

4. m⁵ × m³ = (m × m × m × m × m) × (m × m × m)

= m5+3

= m⁸

Step-by-step explanation:

exponential law

3 0

3 years ago

Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.

aksik [14]

Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)

3 0

3 years ago

1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7

Anton [14]

The solution of the equation is $x=3$ and $y=1$