Answer:
6 = x
Step-by-step explanation:
first, we simplify the parenthesis by distributing the 4
3 = 4(x - 2) + 5 - 3x
3 = 4x - 8 + 5 - 3x
then, you add like terms
3 = x - 3
then add 3 to both sides to isolate x
6 = x
Answer:
x = 21
Step-by-step explanation:
The sum the the interior angles of a triangle is 180°.
We know that the three angles of the triangle is 100°, x° - 4, and 3x°.
The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:
100 + x - 4 + 3x = 180
(I got rid of the degree signs because they are not necessary when finding x.)
Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.
100 + x - 4 + 3x = 180
Subtract 100 from both sides to get rid of the 100 on the left side.
x - 4 + 3x = 180 - 100
Simplify.
x - 4 + 3x = 80
Add 4 from both sides to get rid of the -4 on the left side.
x + 3x = 80 + 4
Simplify and combine like terms.
4x = 84
Divide 4 from both sides to get rid of the coefficient of 4 on the left side.
x = 84/4
Simply.
x = 21
The value of x would be 21.
x = 21
I hope you find this helpful. :)
Answer:
21, and 23
Step-by-step explanation:
divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.
The statements that are true are AD = BD , m∠ACD = m∠BCD , m∠CDA = m∠CDB , Option A , C and D
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , angles and vertices.
It is given a Δ ACB
CD is the angle bisector of ∠ACB
AC ≅ CB
To determine which statement are true
First it has to be proved that Δ DCB is congruent to Δ ACD
In the triangles
AC = CB (Given )
∠ACD = ∠DCB (CD is the angle bisector of ∠ACB)
DC = DC ( Common side )
thus Δ DCB is congruent to Δ ACD
Therefore the following statements are true
AD = BD (CPCTC)
m∠ACD = m∠BCD (CPCTC)
m∠CDA = m∠CDB (CPCTC)
Therefore Option A , C and D are the statements that are true .
To know more about Triangle
brainly.com/question/2773823
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