Picture relating to the question can be found in the picture attached below.
Answer:
Angle DCA = Angle CAB
Angle A + Angle B + Angle C = 180°
18 + 3x + 3x = 180
27°
Step-by-step explanation:
For 1:
Angle DCA = Angle CAB (Alternate angles are equal)
Angle DCA = 18°, Hence, CAB = 18°
2)
Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)
3.)
Angle A = 18°
Angle B = 3x
Angle C = 3x
18° + 3x + 3x = 180°
4.)
18 + 3x + 3x = 180
18 + 6x = 180
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27°
------------------------------------------------------
Given information
------------------------------------------------------
100% = $27.60
------------------------------------------------------
Rewriting it
------------------------------------------------------
------------------------------------------------------
Find $4.14 in percentage
------------------------------------------------------
------------------------------------------------------
Answer: 15%------------------------------------------------------
------------------------------------------------------
Find $31.74 in percentage
------------------------------------------------------
------------------------------------------------------
Answer: 115%------------------------------------------------------
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Answer:
3.24
Step-by-step explanation:
1) minus the whole number, 3.6 from both sides:
x/2.7 +3.6 = 4.8 -----> x/2.7 = 1.2
2) multiply both sides by 2.7 to get the x value on its own:
x/2.7 = 1.2 -------> x = 3.24
3) finally x is on its own with a value on the other side... x = 3.24
Answer:
An isosceles triangle with angles measuring 20° and 80°
Step-by-step explanation:
Verify each case
case A) Scalene triangle with angles measuring 110° and 35°
Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle
case B) An obtuse triangle with sides measuring 5,10 and 15
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
case C) An isosceles triangle with angles measuring 20° and 80°
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem the third angle is (180-20°-80°=80°),
therefore
is an isosceles triangle and can be drawn as it is described
case D) An acute triangle with sides measuring 7,4 and 2
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
