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EleoNora [17]
3 years ago
15

Line WX is tangent to circle T at point X. Line WT intersects the circle at points P and Q. The radius of circle T is 12 units a

nd WP = 8 units. What is WX?​

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

PQ=2PT=2 \times 12=24\Rightarrow QW=PQ+PW=24+8=32 \\ \hat{W} \:  is  \: shared, \widehat{PXW}=\widehat{WQX}\Rightarrow \bigtriangleup PWX\cong \bigtriangleup XWQ \\ \Rightarrow  \frac{WX}{QW}   =  \frac{PW}{WX}  \\ \Rightarrow  {WX}^{2}  = PW.QW = 8 \times 24 = 192\Rightarrow WX =  \sqrt{192}  = 8 \sqrt{3}\: units

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Jordan’s class has 30 boys. If the students in his class, 60% are girls. How many girls are in Jonathan’s class?
aev [14]

There are 45 girls in Jonathan's class.

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3 years ago
Find the measure of the exterior angle.
miss Akunina [59]

Answer:

120 degrees! (line) or 300.

Step-by-step explanation:

All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.

If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.

4 0
2 years ago
Read 2 more answers
-5x+2y=6<br> -x+2y=-2 <br> what is the solution to the system of equations?
dybincka [34]

Step-by-step explanation:

- 5x + 2y = 6 \\ - x + 2y =  - 2 \\  \\  - 5x + 2y - ( - x + 2y) = 6 - ( - 2) \\  - 5x + 2y + x - 2y = 6 + 2 \\  - 4x = 8 \\  \frac{ - 4x}{ - 4}  =  \frac{8}{ - 4 }  \\ x =  (- 2) \\  \\  -5x + 2y =  6 \\  - 5 \times  - 2 + 2y = 6 \\ 10 + 2y = 6 \\ 2y = 6 - 10 \\ 2y =  - 4 \\  \frac{2y}{2}  =  \frac{ - 4}{2}  \\ y =  - 2 \\  now \: lets \: see \: whether \\ this \: equation \: is \: correct. \\  - x + 2y = -  2 \\ -   ( - 2) + 2 \times  - 2 = -  2 \\ 2 + 2  \times   - 2 =  - 2 \\ 2 - 4 =  - 2 \\  - 2 =  - 2 \\ yes \: this \: equation \: is \\ correct.

7 0
3 years ago
What is a 2c − 5b − c a − b simplified?
timama [110]
All you have to do is combine like terms. 2c and (-c) are like terms (-5b) and (-b) are like terms and a is a term. So, 2c combined with (-c) is C. (-5b) and (-b) combined is (-6b). Since a doesnt need to be combined with anything, you leave it as it is so your answer will then be c - 6b + a (this is the answer assuming that there is a + in front of the a. If there is a - sign, then just change your +a to -a at the end
7 0
3 years ago
Colin invests £2350 into a savings account. The bank gives 4.2% compound
marin [14]

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

5 0
2 years ago
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