Answer:
SAS
Step-by-step explanation:
If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
Hello! And thank you for your question!
To find if 3 measurements make a triangle:
Measurements 1 and 3 must be less than 2.
As we can see.. Only A fits. 6 cm and 9 cm is less than 10 cm.
Final Answer:
A. 6 cm, 10 cm, 9 cm
Answer:
0.8178
Step-by-step explanation:
To make a 13% decrease in a value, we need to make the difference between the value (X) and 13% of the value:
X - 13% of X = X - 0.13*X = 0.87*X
To make a 6% decrease, following the same method, we just need to multiply the value by (1-0.06) = 0.94
So, to represent in a single decimal value a decrease of 13% and then a decrease of 6%, we just need to multiply the value by 0.87 and then by 0.94:
X*0.87*0.94 = X*0.8178
So the single decimal multiplier is 0.8178
