Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
Answer:
f. 260 in by 100 in
Step-by-step explanation:
13 + 5 = 18
720/18 = 40
Find length:
40*13 = 520
520/2 = 260 <-- must divide by 2, 520 is the sum of twice the length
Find width:
40*5 = 200
200/2 = 100 <-- must divide by 2, 200 is the sum of twice the width
Answer:
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is: True.
<h2>Why?</h2>
A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.
So:

Then, evaluating we have:

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for
and the answer is true.
Have a nice day!
Elisa: 243 / 27 = 9 <------- Most
Frances: 246 / 41 = 6