For this question here are the formulas,
Let T be the number of 10's
Let F be the number 5's
Let us find the 10's first by this formula.
<span>5(124 - T) + 10T = 840
</span>620-5T + 10T = 840
then
5T = <span>220
</span>5 5
T=44
<span>Now let's find the F using this formula.
</span>
5F + 10T = 840
Sustitute T
5F + 10(44) = 840
<u>5F</u> = <u>400
</u>5 5
F = 80
to Check
F + T = 124
80 + 44 = 124
Answer:
This is mode defined
Step-by-step explanation:
If tan(x) = a/4, then
a is opposite <span>to the angle x and
4 </span><span>is adjacent to the angle x
</span>If cos(x) = 4/b, then
4 is adjacent to the angle x and
b is the hypotenuse
sin(x) = opposite/hypotenuse =
a/b
Answer is D.
Step-by-step explanation:
the sum of all internal angles of any quadrilateral has to be 360°.
like in rectangles (4×90 = 360).
in this trapezoid 2 of the rectangle angles are just a little bit distorted : one angle gets more, which it takes from the other. but together these 2 angles must be 180°, as the remaining 2 angles are "normal" rectangle angles of 90°.
therefore
180 = angle 3 + angle4 = 160 + angle4
angle4 = 180 - 160 = 20°
and therefore,
angle2 + angle4 = 90 + 20 = 110°
