Answers:
angle2 = 160 degrees
angle3 = 10 degrees
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Explanation:
The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.
Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".
Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.
160+x+x = 180
2x+160 = 180
2x = 180-160
2x = 20
x = 20/2
x = 10
Angle 3 is 10 degrees.
Answer:
45 marbles
Step-by-step explanation:
Using the information provided, we can form the equation x/5 - 2 = 7
Step 1: Add two on both sides of the equation x/5 - 2 = 7
Step 2: Multiply both sides of the equation by 5, to cancel out x. x/5=9
Step 3: Lastly, you get that x=45 marbles
Answer:
D)
Step-by-step explanation:
Each longitude has a time difference of 4 minutes.
Convert 4 hours into minutes
4 hours * (60 minutes/1 hour) = 240 minutes
Divide 240 minutes by 4 to obtain the difference in longitude
240/4 = 60
Answer:B the cost would be $11
Step-by-step explanation: