Answer: x = -1
Step-by-step explanation:
Starting:
x-5(x+1)=3x+2
Simplify the left side:
-4x-5=3x+2
Move all the terms with an x to the left:
-7x-5=2
Move all the terms without an x to the right:
-7x=7
Divide both sides by -7:
x = -1
Answer:
I beliEve it is D
Step-by-step explanation:
A = 133; b = 31; c = 82; d = 64.
Opposite angles in an inscribed quadrilateral are supplementary; this means that d + 116 = 180. Subtracting 116 from both sides, we have d = 64.
By the same theorem, c + 98 = 180; subtracting 98 from both sides, we have c = 82.
Inscribed angles are equal to 1/2 the measure of the intercepted arc. Using this, we have
116 = 1/2(a+99)
Multiplying both sides by 2, we have
232 = a+99
Subtract 99 from both sides:
232 - 99 = a + 99 - 99
133 = a
We also have that
82 = 1/2(133+b)
Multiplying both sides by 2, we have:
164 = 133 + b
Subtract 133 from both sides:
164 - 133 = 133 + b - 133
31 = b
Answer:1/10
Step-by-step explanation:
To convert a ratio to a fraction, you divide the number on the left by the number on the right. This gets you (3/5)/6. When dividing fractions by whole numbers, you need to convert the whole number to a fraction. I converted 6 to 6/1, so that gave me (3/5)/(6/1). You then multiply the top number by the bottom number to get the numerator of the answer, and the middle 2 numbers multiplied is the denominator. The answer is (3x1)/(5x6), or 3/30, which can be simplified to 1/10.
Answer:
<em>-11, -10, -9, -8, -7, -6 and -5 </em>
Step-by-step explanation:
Given the inequality expressions
2x+9<0 and x>-12
2x+9<0
2x< 0-9
2x < -9
x < -9/2
x < -4.5
Since x >-12
-12 < x
Combining both inequalities
-12 <x < 4.5
<em>The integers between the intervals are -11, -10, -9, -8, -7, -6 and -5 </em>
