Answer:
x=2
Step-by-step explanation:
Expand 5(x-1)+3: 5x-2
5x-2=7x-6
<em>add 2 both sides and simplify</em>
5x=7x-4
<em>subtract 7x from both sides</em>
5x=7x-4-7
___-7____
<em>simplify -2x=4x divide both sides</em> by 2, -2x/-2=-4/-2
x=2
From the given information, we get the value of ABC = 120°.
<h3>How to estimate the value of ABC?</h3>
Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.
Now, the radius of the circle exists
OA = OB = OC
Opposite sides of a parallelogram are equal
AB = OC and OA = BC
In ∆OAB,
OA = OB = AB and,
In ∆OCB,
OC = OB = BC
Therefore, ∆OAB and ∆OCB exist in equilateral triangles.
All angles of an equilateral triangle are equivalent to 60°.
Hence, ∠ABC = ∠OBA + ∠OBC
∠ABC = 60° + 60°
∠ABC = 120°
Therefore, the value of ∠ABC = 120°.
To learn more about parallelogram refer to:
brainly.com/question/24291122
#SPJ9
13/7 * 49/2 * 4/49
13/7 * 1/2 * 4
13/7 * 2
26/7
Answer:
-9/2
Step-by-step explanation:
Divide both sides of the equation by 2.
Answer: Ix - 65°F I ≤ 5°F.
Where the solutions of this equation are the set of possible temperatures that we can have.
Step-by-step explanation:
We know that the mean temperature is 65°F.
And it may be 5°F colder or warmer.
Then the minimum temperature is 65°F - 5°F = 60°F
The maximum temperature is 65°F + 5°F = 70°F
Then the range of possible temperatures is [60°F, 70°F]
Now we can model this with an absolute value equation.
Now we have:
the mean, M = 65°
Half the difference between maximum and minimum:
d = (70°F - 60°F)/2 = 5°F.
Now we can write the absolute equation:
I x - M I ≤ d
Where x represents the possible temperatures that we can have
in this case are:
Ix - 65°F I ≤ 5°F.
