Answer:
x = 3.556 or
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
(3*x-5)^2-((x+x+25))=0
Evaluate:
=
Pull like factors:
9x^2 - 32x = x • (9x - 32)
x • (9x - 32) = 0
Remember roots of a product:
A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.
Solve : 9x - 32 = 0
Add 32 to both sides of the equation :
9x = 32
Divide both sides of the equation by 9:
x = 32/9 = 3.556
Answer:
Step-by-step explanation:
step 1
Find the radius of the circle
Remember that AB is a tangent to the circle at point B
so
AB is perpendicular to OA
The radius of the circle is equal to the segment OA
In the right triangle OAB
substitute the values
step 2
Find the value of p
In the right triangle OPQ
see the attached figure to better understand the problem
Applying the Pythagoras Theorem
substitute the values
Remember that OP is the radius
simplify
You need to find the circumcenter of the triangle.
Answer:
230
Step-by-step explanation:
isiwjsjxjxjsiqisjnx
9514 1404 393
Answer:
∠7 = 51°
∠8 = 129°
Step-by-step explanation:
All of the obtuse angles are congruent, as are all of the acute angles. The acute and obtuse angles are supplementary.
∠8 = ∠1 = 129°
∠7 = 180° -129° = 51°
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<em>Additional comment</em>
Technically, angles 1 and 8 are called "alternate exterior angles." As such, they are congruent. Angles 7 and 8 form a "linear pair." As such, they are supplementary.