Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
Answer:
The number is 448.
Step-by-step explanation:
Hope it helps
Answer:
46
Step-by-step explanation:
Step-by-step explanation:
(2m + 4) / 8 = w
2m + 4 = 8w
2m = 8w - 4
m = 4w - 2
Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
