Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Answer: 25 times 50 = 1,250 inches every inch is 50 miles on the second map
Step-by-step explanation: hope i could help you
Answer:
In the operation, simplify
9-a² = (3-a)(3+a)
Factorize
4a²-4a-24-------------------divide each term by 4
a²-a-6-------------------------factorize
a²-3a+2a-6
a(a-3)+2(a-3)
(a+2)(a-3)
Factorize
a²-6a+9
a²-3a-3a+9
a(a-3)-3(a-3)
(a-3)(a-3)
Rewrite operation as
Multiply by the recipricol
cancel the similar terms
Answer:
x:8/3
y:-2
Step-by-step explanation:
<em>Congruent triangles</em> are two or more triangles with the same length of <u>sides</u> and measure of internal <u>angles</u>. Thus the <em>required</em> proof is as shown below:
From the given diagram, it can be <u>observed</u> that:
AB = AC (<em>similar</em> property of two lines)
AC = AE (<u>similar </u>property of two lines)
Also,
m<A is a <u>common</u> angle to ΔABC and ΔADE
So that it can be <em>concluded </em>that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are <u>congruent</u>, then;
BC = DE (<u>corresponding</u> sides of <em>congruent</em> triangles)
For further clarifications on congruent triangles, visit: brainly.com/question/1619927
#SPJ1
