Answer:
Right-angled triangle
Step-by-step explanation:
<em>l = 16 feet</em>
<em>w = 3 feet</em>
- Step-by-step explanation:
<em>A = l×w</em>
<em>l = 10+2w</em>
<em>48 = (10 + 2w)w</em>
<em>48 = 10w + 2w² | : 2</em>
<em>24 = 5w + w²</em>
<em>w² + 5w - 24 = 0</em>
<em>w² + 8w - 3w - 24 = 0</em>
<em>w(w + 8) - 3(w + 8) = 0</em>
<em>(w - 3)(w + 8) = 0</em>
<em>w - 3 = 0 => w = 3 feet</em>
<em>w + 8 = 0 => w = - 8 ∉ N </em>
<em>l = 10 + 2w</em>
<em>l = 10 + 6</em>
<em>l = 16 feet</em>
<em />
<em>A = l×w = 16ft×3ft = 48ft² </em>
The <em>correct answers</em> are:
B) ∠R is congruent to ∠C; C) ∠B is congruent to ∠Q; E) BC is congruent to QR.
Explanation:
Using the congruence statement, we can state that corresponding elements of the triangles are congruent. In the statement, ∠R matches ∠C; ∠B matches ∠Q, and side BC matches side QR.
Answer:
sin x = 3/5
cos y = 3/5
sin x and cos y are equal
Step-by-step explanation:
First we need to find the length of the hypotenuse
We can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 +8^2 = c^2
36+64 = c^2
100 = c^2
Taking the square root
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Since this is a right triangle we can use trig functions
sin x = opp side/ hypotenuse
sin x = 6/10 = 3/5
cos y = adj / hypotenuse
cos y = 6/10 = 3/5
sin x and cos y are equal
