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nata0808 [166]
3 years ago
11

AB and BC are tangents to P. what is the value of x? this is really so confusing

Mathematics
1 answer:
Westkost [7]3 years ago
4 0
1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A. 

2. AB=BC, because tangents drawn to a circle from the same point are equal.

3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent. 

4. So measure of m(BPA)=x/2 and m(ABP)=73/2.

5. \frac{x}{2}+90+ \frac{73}{2}=180

\frac{x+73}{2}=90

x+73=180, x= 107 degrees.

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Find the volume of the triangular prism.<br> 3cm<br> 10cm<br> 7cm
asambeis [7]

Answer:

volume of the triangular prism =  105cm³

Step-by-step explanation:

to find the volume of a triangular prism , given the three sides to be 3cm, 10cm, 7cm,

so, recall the formulae for calculating the volume of a triangular prisim

volume of the triangular prism =  1/2 x a x b x c

volume of the triangular prism =  1/2 x 3cm x 10cm x 7cm

volume of the triangular prism =  3cm x 5cm x 7cm

volume of the triangular prism =  105cm³

therefore the volume of the trangular prism is evaluated to be equals to 105cm³

7 0
3 years ago
Evaluate the expression when c=21 and d=4.<br> c-5d
vekshin1

\huge \boxed{\mathfrak{Question} \downarrow}

  • Evaluate the expression when c = 21 and d = 4, c - 5d = ?

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Given,

  • c = 21
  • d = 4
  • c - 5d = ?

Let's solve it now :-

\sf \: c - 5d \\  \\  \sf \: Substitute \: the \: values \: of \: c \: and \: d \\  \\ \sf c - 5d \\  \rightarrow \sf(21) - 5(4) \\ \sf  \rightarrow21 - 20 \\  =    \boxed{\boxed{\bf \: 1}}

  • The value of the expression is <em><u>1</u></em><em><u>.</u></em>
6 0
2 years ago
2[32-(4-1)³] answer.​
zepelin [54]

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

5 0
3 years ago
What is the solution to the following system of equations?
artcher [175]
The correct answer is B
6 0
3 years ago
Easy Multiple Choice Questions about expressions and linear equations / ASAP / Will mark brainliest / 25 Points
nata0808 [166]

Answer:

1.C

2.A

3.D

4.C

5.B

6.A

7.B

8.C

9.A

10. D

Step-by-step explanation:

For Problem 1, the work is as follows:

2(3x-1)+x\\Distribute\\6x-2+x\\7x-2

For Problem 2, the work is as follows:

(3x^{2} +6x+4) - (-x^{2} +2x-1)\\Distribute -\\(3x^{2} +6x+4) + (x^{2} -2x+1)\\Combine\\4x^{2} +4x+5

For Problem 3, the work is as follows:

5b-(a+c)^{2} \\5(3) - (-1+-4)^{2} \\15 - (-5)^{2} \\15-25\\-10

For Problem 4, the work is as follows:

4x-8 = -12\\+8\\4x = -4\\-4/4 = -1\\x = -1

For Problem 5, the work is as follows:

\frac{1}{2} (12x-6) = 2x-15\\Distribute\\\\6x - 3 = 2x -15\\+3\\6x = 2x -12\\-2x\\4x = -12\\-12/4\\x = -3

For Problem 6, the work is as follows:

17 *0.06 = 1.02\\17+1.02 = 18.02

For Problem 7, the work is as follows:

x = (2,0)\\y = (0,-1)\\\frac{rise}{run} \\y = \frac{1}{2} x-1

For Problem 8, the work is as follows:

y_{2} -y_{1} \\x_{2} -x_{1} \\-1-1 = -2\\0-(-2) = 2\\Slope = -1

For Problem 9, the work is as follows:

3y - 2x +6 = 0\\-3y\\(-3y - -2x+6)/-3\\y = \frac{2}{3} x -2

For Problem 10, the work is as follows:

(y-3) = -2(x-1)\\Distribute\\(y-3) = -2x+2\\+3\\y = -2x +5

Hope this Helps!

4 0
3 years ago
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