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uysha [10]
3 years ago
14

B is the midpoint of segment AC. Find the value of x if AB = 5x + 18 and AC = 9 + 13x

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

27

Step-by-step explanation:

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the quotient of four times x plus six and two minus two times x plus fourteen

Step-by-step explanation:

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3 years ago
Which of these triangle pairs can be mapped to each other using two reflections?
UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0
3 years ago
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Find the value of the letter in each of the following. Give your answers to 1 d.p.
Damm [24]

Answer:

a) z = 70.5°

b) s = 83.6°

c) x = 0.7cm

Step-by-step explanation:

We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.

a) We are given the following values

Hypotenuse = 21 inches

The triangle is divided into two to give us a right angle triangle

The adjacent side = 14inches/2 = 7 inches

We are to find Angle z

The Trigonometric function we are using is Cosine

cos z = Adjacent / Hypotenuse

cos z = 7/21

cos z = 1/3

z = arc cos(1/3)

z = 70.528779366°

To 1 decimal place

z = 70.5°

b) We are given the following values

Hypotenuse = 12 cm

The triangle is divided into two to give us a right angle triangle

The opposite side = 16cm/2 = 8 cm

We are to find Angle s, but it is split into 2

So we represent the half as x

The Trigonometric function we are using is Sine

sin x = Opposite/ Hypotenuse

sin x = 8/12

sin x = 2/3

x = arc sin(2/3)

x = 41.810314896°

Remember in the question, we are to find s.

s = x° × 2

s = 41.810314896 × 2

s = 83.620629792

To 1 decimal place

s = 83.6°

c) From the above diagram, we are to find the Opposite side represented by x

Our triangle is split into two equal halves

Adjacent side = 2cm

Angle θ = 36°/2 = 18°

We are using Trigonometric function tan to solve for question c

tan θ = Opposite/ Adjacent

tan 18° = Opposite/ 2

Cross Multiply = tan 18° × 2

0.3249196962 × 2

= 0.726542528cm

To one decimal place,

x = 0.7cm

3 0
3 years ago
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