Answer:
Step-by-step explanation:
<u>Properties of a parallelogram</u>
- Two adjacent angles are supplementary
- Opposite angles are congruent
- Opposite sides are parallel and congruent
Use the properties to find the required parameters
1) <u>Find m∠YXV</u>
- m∠YXV + m∠VXW + m∠VWX = 180°
- m∠YXV + 40° + 84° = 180°
- m∠YXV = 180° - 124°
- m∠YXV = 56°
2) <u>Find m∠Y</u>
3) <u>Find x</u>
Answer:
233568
Step-by-step explanation:
233568
use the smallest digit on the left and write in increasing order
and the greatest digit on the right as shown.
sin = opposite/hypotenuse
sin 40° = 12/x
Cross multiply.
0.64278760968x = 12
Divide both sides by sin 40°.
x = 18.7 (rounded to nearest tenth).
Answer:
AB=29; BC=27
Step-by-step explanation:
So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.
So you would write it as such,,
4x+9+5x+2=56
Combine like terms
9x+11=56
Now you have to isolate the x by itself but first get rid of the 11.
9x+11-11=56-11
You would get
9x=45
Here you can divide 9 by both sides to isolate x.
9x/9=45/9
{x=5}
Now to find the value for both substitue x in the equations for both
1. AB=4x+9 where x is 5
4(5)+9 =AB
20+9 =AB
29=AB
You would do the same with BC
2. BC= 5x+2 where x is 5
5(5)+2= BC
25+2= BC
27=BC
If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC
Please, group your sets of numbers, using { } notation or at least semicolons ( ; ). Thanks.
Looking at what I think is your first set: { sqrt(4), sqrt(5), sqrt(16) }
Square each of these and then subst. the results into the Pythagorean Theorem:
{ 4, 5, 16 } Do 4 and 5 when added together result in 16? NO.
Therefore, { sqrt(4), sqrt(5), sqrt(16) } does not produce a right triangle.
Your turn. Pick out the next 3 numbers and test them using the Pyth. Thm.