This is vague. Any dimensions that make a triangle can make more than one, just draw another right next to it. What's really being asked is which dimensions can make more than one non-congruent triangle.
<span>A. Three angles measuring 75°,45°, and 60°.
That's three angles, and 75+45+60 = 180, so it's a legit triangle. The angles don't determine the sides, so we have whole family of similar triangles with these dimensions. TRUE
<span>B. 3 sides measuring 7, 10, 12?
</span>Three sides determine the triangles size and shape uniquely; FALSE
<em>C. Three angles measuring 40</em></span><span><em>°</em></span><em>, 50°</em><span><em>, and 60°? </em>
40+50+60=150, no such triangle exists. FALSE
<em>D. 3 sides measuring 3,4,and 5</em>
Again, three sides uniquely determine a triangle's size and shape; FALSE
</span>
Answer:
53 degrees
Step-by-step explanation:
Vertical angles are congruent so...
65x-12=43x+10
22x=22
x=1
Then add it into the equation of ∠A
m∠A= 65(1)-12
65-12
53
Answer:
0.25
Step-by-step explanation:
As a decimal, 0.25
As a fraction, 1/4
As a percentage, 25%
Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x
∴ 10 teeth must go on the driven gear
hence ratio = 34:10
Answer:
3/10, or 23.1%
Step-by-step explanation:
