Answer:
( x + 3 )² - 27
Step-by-step explanation:
x² + 6x = 18
→ Minus 18 from both sides to get a quadratic equation
x² + 6x - 18
⇒Completed square from is ( x + a )² + b
⇒The value of 'a' will always be half the 'b' value in the equation
ax² + bx + c
→( x + 3 )² + b
Expand out the equation to find 'b'
x² + 6x + 9
We have do something to get from 9 to - 18 which -27
So the answer is ( x + 3 )² -27
1) 3x=(4x+50-30)/2
x=10
Explanation: (1/2)(big arc - small arc), plug in the numbers and solve
2) 15•x=33•10
x=22
Explanation: a•b=c•d, plug in the numbers and solve
3) (x+8)•8=(24+4)•4
x=6
Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve
Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer:
(10/6)+f
Step-by-step explanation:
X=5 because 2x plus 6x equals 8x and then when you divide the 40 by 8 u get 5