Answer:
A) I consumed 69 calories.
B) There are 21 cashews in one serving.
Step-by-step explanation:
Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:
A)
28 = 161
12 = X
12 x 161/28 = X
1932/28 = X
69 = X
So, I consumed 69 calories.
B)
12 = 9
28 = X
28 x 9/12 = X
252/12 = X
21 = X
Therefore, there are 21 cashews in one serving.
Answer:
ΔABC is not a right- angled triangle
Step-by-step explanation:
Given AB = 8, BC = 5
Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm
Using the converse of Pythagoras' identity
If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.
AC² = 9² = 81
AB² + BC² = 8² + 5² = 64 + 25 = 89
81 ≠ 89, hence ΔABC is not right- angled
Yes the answer is -7(8-9)
Answer:
Step-by-step explanation:
There are a couple of things you need to understand before this makes sense. First of all, if these 2 triangles are congruent to each other, each corresponding side and angle have the exact same measure. Also, pay close attention to the triangle congruency statement. If the first angle mentioned in the first triangle is angle E, and the first angle mentioned in the second triangle is angle K, then E and K have the exact same measure. The same goes for angle f and angle L; likewise for angle G and angle M. The next super-important-you-HAVE-to-know-this-about-triangle thing is the Triangle Angle-Sum Theorem which says that all the angles of a triangle add up to equal 180 degrees.
We are given that angle E is 60 and angle F (an angle in the same triangle as E) is 35. That means that angle G has to be 180 - 60 - 35 which is 85. Angle G is congruent to angle M, so angle M also measures 85. Second choice down.
Learn your triangle stuff...it doesn't go away all through Geometry class!