Answer:
136 degrees
Step-by-step explanation:
From the above question, we are told that:
The measure of a tangent chord angle = 68 degrees
From circle theorems, we know that:
The measure of an angle formed by a tangent and chord(Tangent-chord angles ) is equal to half the measure of the intercepted arc.
Hence,
68° = 1/2 (measure of the intercepted arc.)
Let the Measure of the intercepted arc = x
68° = 1/2x
Divide both sides by 1/2
Measure of the Intercepted arc(x) = 68° ÷ 1/2
Measure of the Intercepted arc = 68° × 2
Measure of the Intercepted are = 136°
Therefore, the measure of the intercepted arc inside the angle is 136°
Hey there!
<u>Solve </u><u>the </u><u>equation</u><u>:</u>
x = -10 ✅
2(x + 3) = x - 4
<em><u>Distributive property:</u></em> A(B + C) = AB + AC
<em>></em><em>></em><em> </em><em>Substitute </em><em>2</em><em> </em><em>for</em><em> </em><em>A</em><em> , </em><em>x</em><em> </em><em>for </em><em>B</em><em> </em><em>and </em><em>3</em><em> </em><em>for</em><em> </em><em>C</em><em> : </em>
2(x) + 2(3) = x - 4
2x + 6 = x - 4
<em>></em><em>></em><em> </em><em>Subtract </em><em>6</em><em> </em><em>from </em><em>each </em><em>side </em><em>:</em>
2x + 6 - 6 = x - 4 - 6
2x = x - 10
<em>></em><em>></em><em> </em><em>Subtract </em><em>x </em><em>from </em><em>both </em><em>sides </em><em>:</em>
2x - x = x - 10 - x
x = -10
▪️Let's check our work :
2(-10 + 3) ⇔ 2(-7) ⇔ -14
-10 - 4 ⇔-14
Therefore, your answer is x = -10
Learn more about first-degree equations :
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Answer:
x=15
Step-by-step explanation:
The given equation is
Here the variable is x and the terms with the variable are
Keep all the terms having variable on one side and all the constants terms on the other side as
Now, simplify the above equation to get the value of x as
In this way, the value of x is 15.
Answer:
the numbers are:(x),(x+2),(x+4)
then the sum is 3X+6