Given:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.
In another shopping bag she has a 5-pound bag of flour.
The two shopping bags weigh the same amount.
To find:
The weight of each bag of dried beans.
Solution:
Let x be the weight of each bag of dried beans.
So, weight of 6 bags of dried beans = 6x.
According to the question,
Weight of first bag = (6x + 2) pounds
Weight of second bag = 5 pounds
The two shopping bags weigh the same amount. So,
Divide both sides by 6.
Therefore, the weight of each bag of dried beans is 0.5 pounds.
Answer:
92.5 cm²
Step-by-step explanation:
Lets take this step by step
Bottom rectangle is 2 by 5, so then 2*5 = 10
Large rectangle is 8 by 9, so 8*9 = 72
The triangle is 7 by 3, you get the 7 by subtracting the 5 side from the square because using the square you can tell that the height is 9 - something.
The 5 you get is from subtracting the cut part that you might have made because the height of that is 2, therefore you cut off 2 from 7 making it 5
Triangle area is h*b / 2, therefore 7*3 = 21/2 = 10.5
Add them all together, 10.5 + 10 + 72 and you get 92.5
It is 223.5
Hope I helped!
Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
, 
, and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1. Given
2. Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
The value of x based on the information given in the triangle is D. x = 1.
<h3>How to compute the value?</h3>
From the information given, it stated that the triangles are similar.
In this case, both triangles have side 4 and 5. Therefore, we are to find the last side. This will be:
4x - 1 = x + 2
Collect like terms
4x - x = 2 + 1
3x = 3
x = 3/3
x = 1
Therefore, the correct option is D.
Learn more about triangles on:
brainly.com/question/1058720
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