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4 years ago

These angles are equal. What are they called?

Mathematics

2 answers:

astra-53 [7]4 years ago

8 0

Equal angles are usually called ''alternate angles''.

Bogdan [553]4 years ago

8 0

In my school, we call them 'congruent angles'

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ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

$\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm$

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0

3 years ago

Find the base of the triangle whose area is 2.4 cm² and who is height is 1.6 cm

Karo-lina-s [1.5K]

Formula of the area of triangle: (BxH)/2

So:

1.6B/2 = 2.4

Multiply both sides by 2:

1.6B = 4.8

Divide both sides by 1.6:

B = 3

6 0

4 years ago

Which statement is true?

ioda

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

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3 years ago

Which table matches the function? <br> y= 2x 2

marishachu [46]

Answer:

Step-by-step explanation:

You look for zero and see what the coresponding is it is 2

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3 years ago

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The formula for the nth term of an arithmetic sequence can be found using the formu

Tresset [83]

It can be found by using the formula,

an = a+(n-1)d

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4 years ago