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2 years ago

In triangle ABC, what is m and B A. 30° B. 40° C. 75° D. 85°

Mathematics

2 answers:

Kay [80]2 years ago

7 0

Answer:

B B.......B........B......

masha68 [24]2 years ago

6 0

Answer:

B. 40

Step-by-step explanation:

Angle C is linear with ACD, so the 2 angles = 180 degrees. 180 - 155 = 25.

All 3 angles need to add to 180, so 115 + 25 + angle B = 180

140 + angle B = 180, so angle B is 40 degrees.

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Graph the image of the given triangle under a dilation with a scale factor of 1/4 and center of dilation (0, 0)

schepotkina [342]

Answer:

The image in the attached figure

Step-by-step explanation:

we know that

The dimensions of the image of the given triangle are equal to the original dimensions of the pre-image multiplied by the scale factor

In this problem the scale factor is 1/4

The height of the pre-image is 4 units

The base of the pre-image is 8 units

Find out the dimensions of the image

The height of the image is $(4)\frac{1}{4}=1\ unit$

The base of the image is $(8)\frac{1}{4}=2\ units$

The image in the attached figure

6 0

4 years ago

In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the l

mestny [16]

9514 1404 393

Answer:

5/8

Step-by-step explanation:

The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.

Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.

The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.

3 0

3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

WITCHER [35]

Answer:

sin⁴x - sin²x

sin²x(sin²x - 1)

(1 - cos²x)(1 - cos²x - 1)

(1 - cos²x)(-cos²x)

-cos²x + cos⁴x

cos⁴x - cos²x

4 0

3 years ago

The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago

Elliot has a total of 26 books. he has 12 more fiction books than nonfiction books. let x represent the number of fiction books

KIM [24]

Answer:

X+Y=26

X-Y=12

Step-by-step explanation:

fiction books= X

non fiction books= Y

then,

fiction books= X

non fiction books = X-12

but Y= X - 12

from. the statement,

X+Y = 26

X-Y=12

6 0

2 years ago