All categories

2 years ago

O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.

Mathematics

1 answer:

Yuki888 [10]2 years ago

4 0

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

You might be interested in

A tissue box is 514 inches tall. The area of the base of the tissue box is 44 square inches. What is the capacity (volume) of th

melomori [17]

Answer:

45ci

Step-by-step explanation:

the 45 ggyt9tgih80n-

5 0

2 years ago

Read 2 more answers

20 POINTS! If the right triangular prism shown has a volume of 36 cubic centimeters, what is the height of the triangular base o

const2013 [10]

Answer:

B. 2

Step-by-step explanation:

3*6*2 = 36

if this is correct would you mind giving me a crown? :)

have a good day.

5 0

2 years ago

Read 2 more answers

The product of two consecutive even integers is 224. what are the integers?

algol [13]

Answer:

16, -16, 14, and -14

Step-by-step explanation:

The easiest way of solving this question is by setting up an equation. Let's use "n" to represent any random possible integer.

n (n + 2) = 224

Simplifying:

x^2 + 2n - 224 = 0

(n + 16)(n - 14) = 0

n = -16, 16 or n = -14, 14

<u>Check:</u>

16 * 14 = 224

-16 * -14 = 224

Thus, answers of 16, -16, 14, and -14 all work correctly.

3 0

2 years ago

Read 2 more answers

Consider the set a = {a, b, {a, b}}, where a and b are distinct elements. the number of elements in ℘(a) is _____

Juli2301 [7.4K]

$A=\{a,b,\{a,b\}\}\\|A|=3\\\\|\wp(A)|=2^3=8$

7 0

3 years ago

The base of a triangular prism is an isosceles right triangle with a hypotenuse of 72−−√ centimeters. The height of the prism is

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Surface area = lateral area + 2(area of base)

Lateral area = perimeter of base * height.

Because it is a isosceles right triangle, both sides are equal.

$x^{2} +x^{2}$ = 72

2 $x^{2}$ = 72. Divide both sides by 2

$x^{2}$ = 36. Square both sides.

x = 6.

So the perimeter of the base = 6 + 6 + $\sqrt{72}$ = 20.485281374239

Lateral area = 20.485281374239 * 7 = 143.397 $cm^{2}$

Area of base is (1/2)base * height.

(1/2)(6)(6) = 18

Using the surface area formula

surface area = 143.397 + 2(18) = 179.4 $cm^{3}$

4 0

2 years ago