Answer is true
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Answer:
I apologize if this was poorly explained. The explanation for each is below the angle.
Since these triangles are in a rectangle, The top and bottom triangles are congruent, and the left and right triangles are congruent. All 4 triangles are also Isosceles. (Two equal sides/angles)
m<1= 59
(Left and right triangles are congruent)
m<2=31
(Top and bottom triangles are congruent)
m<3= 59
(Directly across from the other 59)
m<4=31
(Each of the rectangles corner angles totals to 90 degrees, therefore making this angle 31 degrees.)
m<5=31
(Since the triangles are isosceles, this angle is also 31)
m<6= 59
(Since m<5 is 31, this angle is 59.)
m<7=118
{(Two other angles in the triangle) 31+31= 62 180-62= 118)}
m<8=62
{(Two other angles in the triangle)59+59= 118. 180-118= 62}
m<9=62
(This angle and m<8 are congruent.)
m<10=118
(This angle and m<7 are congruent.)
m<11=31
(Same reason as m<4)
I hope this helps!
Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer
Step-by-step explanation:
The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920
The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.
Answer:
Height of fir tree = 9 meters
height of pine tree= 12 meters
Step-by-step explanation:
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree
Subtract x from both sides
height of 4 fir trees = pine tree +24
Substitute 21-x or y in the above equation
Add x on both sides
Divide by 5 on both sides
x=9
Now plug in 9 for x and find out y
y=12
Height of fir tree = 9 meters
height of pine tree= 12 meters
