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2 years ago

Find m(angle) ABC21 1324819

Mathematics

2 answers:

Studentka2010 [4]2 years ago

7 0

m<ABC and m<ABD are supplementary angles and as you know sum of supplementary angles = 180°

so m<ABC + m<ABD = 180°

3x - 9 + 7x - 1 = 180

Combine like terms

10x - 10 = 180

Add 10 to both sides

10x = 190

Divide both sides by 10

x = 19

Plug in x = 19 into 3x - 9 to find m<ABC

m<ABC = 3x - 9 = 3(19) - 9 = 57 - 9 = 48

Answer

m<ABC = 48°

Brut [27]2 years ago

5 0

I don't like these algebra problems which pretend to be geometry.

These are supplementary angles adding to 180 degrees; geometry done.

7x - 1 + 3x - 9 = 180

10 x = 190

x = 19

ABC=3x - 9 = 3(19) - 9 = 48

Answer 48°

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Find the size of the angle 3 x .

AlexFokin [52]

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

8 0

2 years ago

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

2 years ago

Read 2 more answers

Consider these dimensions for a cylindrical aquarium.

vagabundo [1.1K]

The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

<h3>What is a Cylindrical figure ?</h3>

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

To know more about Cylindrical Figure

brainly.com/question/10369419

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6 0

1 year ago

Given the function defined below, what is the value of the 4th term?

MakcuM [25]

Answer:

The 4 t h term is f(4) = 143

Step-by-step explanation:

Explanation:-

Given function f(1) = -4

Given 'nth' term is f(n) = -3f(n-1) +5

Put n =2 f(2) = -3 f(2-1) +5

= -3 f(1) +5

= -3 (-4) +5

= 12 +5

f(2) = 17

put n= 3

f(n) = -3f(n-1) +5

f(3) = -3 f(3-1) +5

= -3f(2) +5

= -3(17) +5

= -51+5

f(3) = -46

Put n=4

f(n) = -3f(n-1) +5

f(4) = -3f(4-1) +5

f(4) = -3f(3)+5

f(4) = -3(-46)+5

f(4) = 138 +5

f(4) = 143

Final answer:-

The 4 t h term is f(4) = 143

6 0

2 years ago

What is the product of (-a + 3)(a + 4)?

spayn [35]

Answer: The product of (-a + 3)(a + 4) is: -a^2-a+12

Step-by-step explanation:

(-a+3)(a+4) = -a*a-a*4+3*a+3*4

=-a^{2} -4a+3a+12

now just simply combine..

=-a^2-a+12

the answer is -a^2-a+12

8 0

2 years ago