Answer:
w = 6.7451
x = 8.0805
Step-by-step explanation:
Find W
Tan(56) = opposite / adjacent
opposite = 10
Adjacent = w
Tan (56) = 10/w
w*Tan(56) = 10
w = 10 / tan(56)
w = 10/ 1.4826
w = 6.7451
Find x
Tan (34) = 10 / (w + x)
Tan (34) = 0.6745
(w + x) * Tan(34) = 10
w + x = 10 / tan(34)
w+ x = 10 / 0.6745
w + x = 14.826
But we found w = 6.7451
6.7451 + x = 14.826
x = 14l826 - 6.7451
x = 8.0805
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
<h3>Cyclic Quadrilateral</h3>
A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
learn more on angles here: brainly.com/question/19430381
Answer:
the probability of rain is 0.3. The probability of no rain is 1–0.3= 0.7
0.7 is the probability that it does not rain.Step-by-step explanation:
a and d b and c that's the answer
