Answer:
111 grams
Step-by-step explanation:
fruit: yoghurt: total
2 : 3 : 2+3=5
The total mass is 185
Divide 185/5 = 37
Multiply each number by 37
fruit: yoghurt: total
2*37 : 3 *37 : 5*37
74 111 185
The mass of the yoghurt is 111
Answer:
3/4 and 0.95 would both result in a reduction.
Step-by-step explanation:
multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.
Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, 
and 
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Answer:
(
−
∞
,
∞
) {
x
|
x
∈
R
}
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Answer: y = 4x + 5
Step-by-step explanation:
Rearranging 4x-y = 1 we get y = 4x-1 as the equation of the line.
Since the new line is parallel to y=4x-1, that means the slopes are equal. Therefore, the slope of the line is 4.
So, the equation of the line is y = 4x+b
To figure out b, we can plug in the point (-2,-3) into the equation.
So -3 = -2*4 + b
-3 = -8 + b
And we get b = 5.
Therefore, the equation of the line is y = 4x + 5
