Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Answer:
Square root of 34
Step-by-step explanation:
a^2 +b^2 =c^2
3^2 + 5^2 = 34
Answer:
The tree grew 15/64 meters per year.
Step-by-step explanation:
Given
- Length of a tree = 3/4 meters
- Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years
To determine
Per year growth of the tree in meters
Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.
Per year growth of tree = Total Length / Total time to grow
= 3/4 ÷ 16/5
= 3/4 × 5/16
= [3×5] / [4×16]
= 15/64 meters
Therefore, the tree grew 15/64 meters per year.
Lets get an example, for this example lets use 24/30 x 30/60
Without dividing out GCFs you would get 24x12 over 30 x 60 which is 288/1800
With dividing out GCFs you get 2/1 x 5/1 Which is 7 :)
Answer:
2n-4
Step-by-step explanation:
-n-2+3n-2 (here I distributed the negative to both parts)
2n-4 (gather the like terms)
