Answer:
Step-by-step explanation:
From the picture attached,
Statements Reasons
1). In ΔABC, DE intersects AB and AC 1). Given
2). DE║BC 2). Given
3). ∠ADE ≅ ABC 3). Corresponding angles postulate
4). ∠AED ≅ ∠ACB 4). Corresponding angles postulate
5). ΔADE ~ ΔABC 5). AA similarity postulate
6).
6). Definition of two similar triangles
Hence proved.
Answer:
u = (-21)/20
Step-by-step explanation:
Solve for u:
u + 1/4 = (-4)/5
Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u)/4 + 1/4:
(4 u)/4 + 1/4 = -4/5
(4 u)/4 + 1/4 = (4 u + 1)/4:
1/4 (4 u + 1) = -4/5
Multiply both sides of (4 u + 1)/4 = (-4)/5 by 4:
(4 (4 u + 1))/4 = (-4)/5×4
4×(-4)/5 = (4 (-4))/5:
(4 (4 u + 1))/4 = (-4×4)/5
(4 (4 u + 1))/4 = 4/4×(4 u + 1) = 4 u + 1:
4 u + 1 = (-4×4)/5
4 (-4) = -16:
4 u + 1 = (-16)/5
Subtract 1 from both sides:
4 u + (1 - 1) = (-16)/5 - 1
1 - 1 = 0:
4 u = (-16)/5 - 1
Put (-16)/5 - 1 over the common denominator 5. (-16)/5 - 1 = (-16)/5 - 5/5:
4 u = (-16)/5 - 5/5
-16/5 - 5/5 = (-16 - 5)/5:
4 u = (-16 - 5)/5
-16 - 5 = -21:
4 u = (-21)/5
Divide both sides by 4:
u = ((-21)/4)/5
5×4 = 20:
Answer: u = (-21)/20
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h

h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
Answer:
hope that this helps. the answers are as follows