<span>Using the Triangle Inequality Theorem
</span><span>The sum of two side lengths of a triangle is always greater than the third side
</span>
first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle
second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle
Answer:
Second option
8 cm, 15 cm, 22 cm
When a die is rolled, there are six posible results:
1, 2, 3, 4, 5, and 6
Total number of posible results: n=6
Divisible by 4 is only the result 4
Number of favorable results: f=1
P(divisible by 4)=f/n
P(divisible by 4)=1/6
P(divisible by 4)=0.1667
P(divisible by 4)=0.1667*100%
P(divisible by 4)=16.67%
P(divisible by 4)=1/6=0.1667=16.67%
Answer:
The answer is x = 1/11
Step-by-step explanation:
hope this helps
10x + 5x – 3 = 2(2x – 1)
10x+5x-3=4x-2
15x-4x=-2+3
11x=1
To find x divide both sides by 11
11x/11=1/11
x= 1/11
Answer:
Option d. PQ = YZ
Step-by-step explanation:
<u><em>The question in English is</em></u>
Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ
we know that
If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
so
we have that


so
Triangle PQR is congruent with Triangle YZX
That means
<em><u>Corresponding angles</u></em>



<u><em>Corresponding sides</em></u>

Answer:
<h2>3 g/cm³</h2>
Step-by-step explanation:
The density of a substance can be found by using the formula

From the question we have

We have the final answer as
<h3>3 g/cm³</h3>
Hope this helps you