Answer:
(a) AD=6 cm
(b) 66 cm²
(c) 38 cm
Step-by-step explanation:
(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).
Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.
(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²
(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.
Answer:
x = 7
Step-by-step explanation:
- vertical angles are pairs of opposite angles made by intersecting lines. and they are congruent
x + 16 = 4x - 5
x - 4x = - 5 - 16
- 3x = - 21
- x = - 21/3
- x = - 7
x = 7
hope it helps
and please just focus on your questions and use knowledge
Answer:
z= 69
Step-by-step explanation:
79+122+90+z=360 angle sum property
360-291=69
so z=69 degree
Answer:
16/13
Step-by-step explanation:
Multiple inverse for 13/16 is 16/13
Answer:
The exponential model is 
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that 
and 
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of 
:
And by (2), we determine the value of 
:
The exponential model is .
