Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm
Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side
For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm
If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
Answer:
<em>Here </em><em>it </em><em>is </em><em>a </em><em>parallelogram </em><em>so </em><em>opposite </em><em>angles </em><em>of </em><em>parallelogram </em><em>are </em><em>equal</em><em>. </em>
Step-by-step explanation:
<em>so</em>
<em>8x </em><em>+</em><em>1</em><em>7</em><em> </em><em>=</em><em> </em><em>12x </em><em>-</em><em> </em><em>3</em><em>9</em>
<em>1</em><em>7</em><em>+</em><em>3</em><em>9</em><em> </em><em>=</em><em> </em><em>12x </em><em> </em><em>-</em><em> </em><em>8</em><em> </em><em>x</em>
<em>4x </em><em> </em><em>=</em><em> </em><em>5</em><em>6</em>
<em>Therefore </em><em>x </em><em>=</em><em> </em><em>1</em><em>4</em>
Answer:
The last option.
Step-by-step explanation:
Hope this helps!
Wait hold on
Answer:
3.05 or 31/2 pounds
56 ounces
Step-by-step explanation:
To find the total weight all the weights have to have the same units of measurements
It is either pounds is converted to ounces or ounces is converted to pounds
1. convert ounces to pound
1 ounce = 0.0625
12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4
add together = 1 1/2 + 3/4 + 1 1/4 = 
=
= 3 1/2
2. 16 ounces = 1 pound
flour = 16 x 1 1/2 = 24
sugar = 16 x 1 1/4 = 20
total = 24 + 20 + 12 = 56 ounces