The theoretical answer for the following question provided above would be found if you study
To solve a mixed fraction you will have to multiply the mixed number by the denominator then add the numerator for example:
7 3/4 you are gonna go 7x4=28 then you are gonna take that 28 and add 3 to it so it would be 31. I hope that helped some c:
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
We first solve the brackets:
(16-9) = 7
Now, we multiply it with 4
Now, we add 3 to it:
Hence, the value of expression would be 31.
Therefore, First option is correct.
Answer:
1. ΔXYZ is a right Δ with altitude YU.
Given
2. ΔXYZ ~ ΔYUZ
Right Triangle Altitude Similarity Theorem
3. VW || XY
Given
4. ∠VWZ ≅ ∠XYZ
Corresponding angles
5. ∠Z ≅ ∠Z
Reflexive property of congruence
6. ΔXYZ ~ ΔVWZ
AA Similarity postulate
7. ΔYUZ ~ ΔVWZ
Transitive property of similar triangles
Step-by-step explanation:
The first statement is given in the problem. Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.
Next, we are given in the problem statement that the lines VW and XY are parallel. Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent. And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.
Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.
Answer:
Therefore no of apples in that group is 18
Step-by-step explanation:
Given:
No. of apples = 36
No. of pears = 20
Also it is given that grocer arranges the fruit into groups that have the same ratio of apples to pears as the whole collection of fruit.
first we find the ratio of apples and pears in whole collection which is given below
No. of apples/No. of pears = 36/20 = 9/5
Now its a problem of ratio
It is given that no of pear in one group is 10
Let the no of apples in that group be X
According to the question
No. of apples in whole collection/ No. of pear in whole collection = No. of apples in the group/ No. of pears in the group -------------> A
9/5 =X/10
=> X = (9*10)/5 = 18
Therefore no of apples in that group is 18.
