Answer:
a symmetry property explains about the congruencee statement
Answer:
5
Step-by-step explanation:
The measure of triangle ABD is 50°
<u>Step-by-step explanation</u>:
<u>Given</u>:
Triangle ABD is formed by tangent and secant
minor arcs AC=68°, CD=124°
<u>To find</u>:
the measure of triangle ABD
<u>Solution</u>:
Angle Formed by Tangent and Secant = 1/2*(difference of Intercepted Arcs)
The intercepted arcs are AC and AD.
We know that minor arc AC + minor arc CD + minor arc AD = 360°
So using this formula AD = 360° - minor arc AC - minor arc CD
AD = 360° -68°-124°
arc AD = 168°
Substituting in the above formula,
∠ ABD = 1/2*(minor arc AD - minor arc AC)
∠ ABD =1/2*(168 - 68)
∠ABD= 50°
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
Answer:
Step-by-step explanation:
Portrait is in the shape of a rectangle.
And the area of a rectangle = Length × Width
Let the length of the portrait = l
And width of the portrait = w
Area of the portrait = lw
lw = 40
l = 
Perimeter of a rectangle = 2(Length + width)
Perimeter of the portrait = 2(l + w)
26 = 2(l + w)
l + w = 13 ----------(2)
By substituting the value of 'l' in equation (1) from equation (2)
40 + w² = 13w
w² - 13w + 40 = 0
w² - 8w - 5w + 40 = 0
w(w - 8) - 5(w - 8) = 0
(w - 5)(w - 8) = 0
w = 5, 8 feet
From equation (2)
l = 8, 5 feet
Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).
