Answer:
175 ft
Step-by-step explanation:
From the question,
(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.
I.e, ΔABC is equiangular to ΔEDC. (AAA).
(b) From the diagram.
for similar angle, ratio of corresponding sides are equal
100/d = 4x/7x
100/d = 4/7
where d = distance across the river
solve for d
d = (100×7)/4
d = 175 ft
Answer:
Midpoint (-1 , 1)
Step-by-step explanation:
Formula: (midpoint)
Let the point A(x , y) be the midpoint of CD.
![x=\frac{x_c+x_D}{2} =\frac{-3+1}{2} =\frac{-2}{2} =-1](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx_c%2Bx_D%7D%7B2%7D%20%3D%5Cfrac%7B-3%2B1%7D%7B2%7D%20%3D%5Cfrac%7B-2%7D%7B2%7D%20%3D-1)
![y=\frac{x_C + y_D}{2} =\frac{4+(-2)}{2} =\frac{2}{2} =1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx_C%20%2B%20y_D%7D%7B2%7D%20%3D%5Cfrac%7B4%2B%28-2%29%7D%7B2%7D%20%3D%5Cfrac%7B2%7D%7B2%7D%20%3D1)
Then
A(-1 , 1)
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
<h3>What is the leading coefficient of a polynomial?</h3>
The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382
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answer is attached below with full explanation
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]