Answer:
Hence, ∠ABP=10°
Step-by-step explanation:
We are given that:
AB and CD are tangents of the circle.
Now we are given that m∠ACP=10°.
Also we are given that AP and CP are radius of the given circle that means length of AP and CP are equal.
Also we know that angle opposite to the equal sides are equal that means:
∠ACP=∠PAC.
Hence , ∠PAC=10°.
Also in a triangle the sum of all the angles is 180°.
i.e. ∠ACP+∠PAC+∠APC=180°
this means that 10+10+∠APC=180°
∠APC=180-20
∠APC=180-20=160°
As AB and CD are tangents to the circles that means:
∠BAP=∠BCP=90°
Also APCB is a quadrilateral and we know that sum of all the angles of a quadrilateral=360°
Hence,
∠BAP+∠BCP+∠APC+∠ABC=360°
⇒ 90+90+160+∠ABC=360
⇒ 180+160+∠ABC=360
⇒ 340+∠ABC=360
⇒ ∠ABC=360-340=20°
also ∠ABP=(1/2)∠ABC
Hence, ∠ABP=(1/2)×20°=10°
Hence, ∠ABP=10°
Answer:
The answers below ._.
Step-by-step explanation:
A secant is a line that intersects a circle in exactly two points. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Answer:
The probability that the town has 30 or fewer residents with the illness = 0.00052.
Step-by-step explanation:
So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.
The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.
Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.
Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness = e^-λ × λ^x/ x!
It's called a rectangle. This is just a definition, so there is not much to explain.
Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
Now we'll add 11 to both sides:
Which makes the left side a perfect square:
And now we can solve for x:
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
