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3 years ago

Please help me understand

Mathematics

1 answer:

puteri [66]3 years ago

5 0

9514 1404 393

Answer:

D. 86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

274° + DF = 360°

DF = 360° -274°

DF = 86°

There are other relationships you can use to find arc DF. One of the simpler ones is ...

DF and the external angle at E are supplementary:

DF = 180° -94° = 86°

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Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...

Dmitry [639]

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

$n_{th} = a+ (n-1)d$

$n_{th}= 35+(n-1)(1)$

$n_{th} = 34+n$

To find the 100th term, substitute n = 100

$n_{100} = 34 +100$

$n_{100} =134$

Correct option is B

5 0

2 years ago

What is the value of x? x = 45° x = 65° x = 70° x = 115°

dem82 [27]

The three inside angles of a triangle need to equal 180 degrees.

To find X subtract the two known angles from 180.

X = 180 - 45 - 70

X = 65 degrees.

8 0

3 years ago

Read 2 more answers

Give EG = 5x+7 EF =5x and FG=2x-7

Len [333]

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

EG = 5x+7
EF = 5x
FG = 2x-7

Point F is on line segment of EG, therefore EG = EF + FG

5x + 7 = 5x + 2x - 7
2x = 14
x = 7

Then

EG = 5*7 + 7 = 42
EF = 5*7 = 35
FG = 2*7 - 7 = 7

7 0

3 years ago

Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.

bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0

3 years ago

Find c.

Alexxx [7]

9514 1404 393

Answer:

14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

c/sin(C) = b/sin(B)

c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

c ≈ 14.9 cm

5 0

2 years ago