Answer:
see explanation
Step-by-step explanation:
∠1 and 170° form a straight angle and are supplementary, thus
∠1 = 180° - 170° = 10°
∠1 and ∠3 are vertical angles and congruent , thus
∠3 = 10°
∠2, 15° and ∠3 form a straight angle and sum to 180°, thus
∠2 = 180° - 15° - 10° = 155°
Thus
∠1 = 10°, ∠2 = 155°, ∠3 = 10°
Answer:The baker can make 144 croissants
Step-by-step explanation:
Lets solve your question
Divide the total amount of lbs of dough (18 lbs) by the total amount of dough for each croissant (1/8 lbs)
First divide 18(lbs) by 1/8 (lbs)
18/1/8= 18*8=144 croissants
12x+9300=78900
12x=69600
x=5800
x being her monthly salary
Answer:
x = -2/5
y = 12/5
Step-by-step explanation:
Substitution method;
-2x + 3y = 8 -----------(i)
x + y =2 -----------(ii)
x = 2 - y
substitute the value of x in equ (i)
(-2)* (2-y) + 3y = 8
-4 + 2y + 3y = 8
5y = 8 + 4
y = 12/5
substitute the value of y in equ (ii)
x + 12/5 = 2
x = 2 - 12/5
= 2*5/1*5 - 12/5
= 10 -12/5 = -2/5
Ans: x = -2/5
y = 12/5
elimination method:
-2x + 3y = 8 -----------(i)
x + y =2 -----------(ii)
(i) ====> -2x + 3y = 8
multiply equ (ii) by 2 ====> <u> 2x + 2y = 4</u>
add (i) and (ii) 5y = 12
y = 12/5
Substitute in equ (ii)
x + 12/5 = 2
x = 2 - 12/5
= 2*5/1*5 - 12/5
= 10 -12/5 = -2/5
Ans: x = -2/5
y = 12/5
Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
