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docker41 [41]
2 years ago
5

Determine if the triangles in the figure are congruent

Mathematics
1 answer:
valkas [14]2 years ago
6 0

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW      ……….{Given}

VW ≅ YW                 ............{Given}

∠ VWU ≅ ∠ XWY    …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW   .….{ By Angle-Side-Angle congruence test}

......Proved

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A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles? Explain.
worty [1.4K]
If the exterior angle is 120 degrees, you subtract 120 degrees from 360 degrees (the two angles form a circle) and get 240 degrees.
This is not a possible angle for a triangle because the angles in a triangle always add up to 180 degrees. Also, angles in triangles can’t be more than 180 degrees
3 0
3 years ago
If f=ma, what is the value of f when m=5 and a=3?
Feliz [49]
The answer is:  15 .
__________________________                                                _____
{Note:  If this is a physics problem ; and the formula: "F = m*a" is for:  
    "Force = mass * acceleration" ;  be sure that the correct units are used!}.
_______________________________________________________
Explanation:
_______________________________
 F = m * a ;

Given m = 5 ;
        
           a = 3 ;
___________________
 F = 5 * 3 = 15 .
_____________________
3 0
3 years ago
HELP ME ASPA!!!!!<br> Round your answer to the nearest hundredth.<br> AC=
vladimir1956 [14]
Hello :) ok so to find AC you would have to use sin. It would be sin70= x/4. To find AC you would have to multiply 4 by sin70 which is 3.758 or to the nearest hundredth would be 3.76. I hope I helped, if you need a more in depth explanation lmk
3 0
3 years ago
10. Which travels faster, a car that goes 200 miles in 2 hours, or a
umka21 [38]
<h2>Answer:</h2>

<em>Question 10. </em><u><em>The truck travels faster</em></u><em>.</em>

<em>Question 11. </em><u><em>The slug travels faster</em></u><em>.</em>

<h2>Step-by-step explanation:</h2>

<h2><u>Question 10.</u></h2>

<u />

<h3>1. Find the velocity of each vehicle.</h3>

Speed=\frac{distance}{time}

Speed_{Car} =\frac{200(miles)}{2(hours)}=100mi/h. \\\\ Speed_{Truck} =\frac{300(miles)}{2.5(hours)} =120mi/h.\\ \\

<h3>2. Compare the velocities.</h3>

Speed_{Car} =100mi/h < Speed_{Truck} =120mi/h.

<em>Hence, the trucks travels faster than the car.</em>

<em></em>

<u>-------------------------------------------------------------------------------------------------------</u>

<em></em>

<h2><u>Question 11.</u></h2>

<em>Apply the same method as in question 10.</em>

<h3>1. Find the velocity of each body.</h3>

<em />Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min.\\ \\Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.

<h3>2. Compare the velocities.</h3>

Speed_{snail}=\frac{20(cm)}{(3 min)} =6.67cm/min < Speed_{slug}=\frac{15(cm)}{(2 min)} =7.5cm/min.

Hence, the slug travels faster.

6 0
1 year ago
Six friends had lunch together and decided to spilt the bill evenly, If the bill was 48.60 what was everyone’s share?
julsineya [31]

Answer:

8.1

Step-by-step explanation:

48.6 /  6 is 8.1 .

5 0
2 years ago
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