Answer:
The triangles are similar by AA Similarity Postulate
Step-by-step explanation:
we know that
In the triangle ABC
m∠CAB=65°
m∠ABC=m∠CAB
so
m∠ABC=65°
<em>Find the measure of angle ACB</em>
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠ACB+m∠ABC+m∠CAB=180°
substitute the values
m∠ACB+65°+65°=180°
m∠ACB=180°-130°=50°
In the triangle DEF
m∠FDE=m∠CAB=65°
m∠DFE=50°
<em>Find the measure of angle DEF</em>
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠DEF+m∠FDE+m∠DFE=180°
substitute the values
m∠DEF+65°+50°=180°
m∠DEF=180°-115°=65°
therefore
m∠CAB=m∠FDE=65°
m∠ABC=m∠DEF=65°
m∠ACB=m∠DFE=50°
so
The three internal angles of the triangles are congruent
therefore
The triangles are similar by AA Similarity Postulate
Answer: X=1/4 or X=0.25
Step-by-step explanation:
-3+12x
Bring the 3 to the other side to isolate x
12x=3
Divide both sides by 12
x=0.25
<span>In a Quadratic Regression problem, a graph is a perfect fit for the data when r = ? a. 1 c. 2 b. 0 d. 100 Please select the best answer from the choices provided A B C D</span>
Y intercept slope - 5,0
X intercept slope - 0,-4
Answer:
The amount put in the account that paid 7% ( Fund B) was $6,500
Step-by-step explanation:
Let
x -----> the amount put in the account that paid 5% (Fund A)
$10,000-x -----> the amount put in the account that paid 7% (Fund B)
in this problem we have
so
therefore
The amount put in the account that paid 7% ( Fund B) was $6,500
