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Stels [109]
3 years ago
10

Pls answer it ......​

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0

Step-by-step explanation:

angle ACB=75° (being inscribed angle)

Angle BCD=105° (sum of straight line)

angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)

105° + x =180°

x= 75°

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Nancy has a big chocolate bar shaped like a rectangular prism. It is 15 centimeters long, 14 centimeters wide, and 2 centimeters
Leya [2.2K]

Answer: 420 cm^{3}

Step-by-step explanation:

The volume V of a rectangular prism is given by:

V=(length)(width)(thickness)

If the chocolate bar has the following dimensions:

length=15 cm

width=14 cm

thickness=2 cm

Its volume is:

V=(15 cm)(14 cm)(2 cm)

V=420 cm^{3}

4 0
3 years ago
Need help asap for geometry​
kupik [55]

Answer:

35

Step-by-step explanation:

40=1/2(115-x)

80=115-x

-35=-x

x=35

4 0
3 years ago
Read 2 more answers
Could someone pls tell me the answer Thankss
Anni [7]
I think 10,000 not sure though
7 0
3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.​
goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}

\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

<u>a=b+3</u>

5 0
2 years ago
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