Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
Answer:
Slope (m)= 3
Step-by-step explanation:
m= (Y2-Y1)/(X2-X1)
m= (17-8)/(4-1)
m= 9/3
m=3
Answer:
3.74 x 10^5
Step-by-step explanation:
First expand the term in scientific notation into normal notation.
3.3 x 10^5 - Here the ^5 tells us to move the decimal five places to the right, so we go from
3.30000 to
330000.00
So 3.3 x 10^5 = 330,000
Now add that to 44,000 and you get 374,000.
Return this number to scientific notation. Move the decimal back to its spot before the 3. We go from
374,000.00 to
3.74000
Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is
3.74 x 10^5
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23
now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4
since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23
now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9
plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14
there are 9 red marbles and 14 yellow marbles!
