Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Answer:
x = 5
Step-by-step explanation:
The answer would be 3/7
Explanation:
This question is basically asking for you to simplify 12/28. To do this, we find the GCF (Greatest Common Factor) of 12 and 28, which is 4. Then, we do 12 / 4 and 28 / 4, which gives us 3 and 7. Therefore, the answer is 3/7.
Answer:
The expression is 20 - 50/5
Step-by-step explanation:
First we have the quotient of 50 and 5.
This is written as:
50/5
And we know that this is equal to 10, but let's leave it as 50/5 for now.
Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:
20 - 50/5
Now we can also solve this:
20 - 50/5 = 20 - 10 = 10
