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Alja [10]
3 years ago
5

Solve for x in the figure below

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...

7x + 15 = 8x

Now we just solve for x

7x + 15 = 8x
15 = 8x - 7x
15 = x

We Can check to see if it is correct by substituting 15 in for x in the equation..

7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120

It checks! angles B and D = 120 degrees
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Use circle C<br><br> classify arc MNO in circle C
inna [77]

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

5 0
2 years ago
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ&lt;2π
makkiz [27]

Answer:

2sin(3θ) - √3 = 0

Step-by-step explanation:

 sin(3θ) = √3/2

 

3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...

 

θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3

 

If k = 0, we get θ = π/9, 2π/9

If k = 1, we get θ = 7π/9, 8π/9

If k = 2, we get θ = 13π/9, 14π/9

 

Other values of k give values of θ lying outside of the interval [0, 2π).

7 0
2 years ago
Given the vector equation ????(t)=(4−3t)????+(−5+t)????+(3−t)????, rewrite this in terms of the parametric equations for the lin
Anit [1.1K]

Answer:

The parametric equations for the line.x(t)=

y(t)=

z(t)=

is  

 \= r (t) =  \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}}  \atop {z(t)=3-t}} \right \}

Step-by-step explanation:

From the question we are told that

      the given equation is

                \= r(t) =  (4-3t) + (-5 + t) + (3-t)

This given equation can be represented as

             \= r (t) =  [4 -3t , -5+t,3-t]

Generally this equation can be represented in terms of the parametric equations as follows

   \= r (t) =  \left \{ {{x(t)= 4-3t} \atop {y(t)= -5+t}}  \atop {z(t)=3-t}} \right \}

This above equation is obtained by assigning each component of r(t) to each  line

4 0
3 years ago
Which of the graphs shown does not represent a function?
jasenka [17]
I’m pretty sure it’s A and C
6 0
3 years ago
Ill mark brainliest.
fgiga [73]

Answer:

(x+6) ÷ +5x ÷ 3 =  x+6/15x

Step-by-step explanation:

(x+6)  ÷  5x/3

(x+6)  ÷  5x ∙ 1/3

x+6/5x ∙ 1/3

x+6/5x ∙ 3

x+6/15x

7 0
2 years ago
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