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puteri [66]
2 years ago
15

Transformation Rule: Translate 4 units right and 3 units up. B Х A

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

                                                    → (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

                             → (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

                             → (4, -2)

Now plot these points on the graph.

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Very confused with this
OlgaM077 [116]

Answer:

∠ D = 28°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBC is an exterior angle of Δ ABE, thus

∠ EBC = 90° + 34° = 124°

BD bisects ∠ EBC, so

∠ EBD = 124° ÷ 2 = 62° , then

∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )

4 0
3 years ago
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?
mojhsa [17]

Answer:

Step-by-step explanation:

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4 0
3 years ago
A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0
3 years ago
GEOMETRY!!! 15 PTSSSSS
ss7ja [257]

Answer:

23) option c

    JL ≈ 9.3

25) option c

      y ≈ 9.6

Step-by-step explanation:

<h3>25)</h3>

Given in the question that,

cos(21°) = 9 / y

y = 9/cos(21°)

y = 9.64

y ≈ 9.6(nearest tenth)

<h3>23)</h3>

Given in the question that the hypotenuse of right angle triangle = 12

To find,

height of the right angle triangle

angle k = 39°

so by using trigonometry identity

cos(39) = opp/hypo

cos(39) = JL / KL

JL = cos(39)(12)

JL = 9.32

JL ≈ 9.3

<h3 />
4 0
3 years ago
Read 2 more answers
Which expression can be used to represent the volume of the trapezoidal prism
Vadim26 [7]

Answer:

Formula for finding the volume of  a trapezoidal prism =\frac{1}{2}(b_1+b_2)h

Step-by-step explanation:

4 0
3 years ago
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