Answer: The measure of ∠SQR= 80.9°
Step-by-step explanation:
Given: In triangle QRS,
∠ RSQ = 29.1° and ∠QRS=70°
To find: ∠SQR
Angles sum property of triangle = Sum of all the angles in a triangle is 180°.
For Δ QRS,
∠SQR + ∠ RSQ +∠QRS = 180°
⇒ ∠SQR + 29.1° + 70° = 180°
⇒ ∠SQR + 99.1° = 180°
⇒ ∠SQR= 180°-99.1
⇒ ∠SQR= 80.9°
Hence, the measure of ∠SQR= 80.9°
Answer:
A. China
Step-by-step explanation:
In this quetion we have to find the coordinate of point C on rotation by 180 degree about origin .
The rule for rotation by 180 degree about the origin is
It means , the x and y coordinates become opposite. That is
The new coordinate of point C (-3,4) is
And that's the required answer.
Answer:
Step-by-step explanation:
If the relationship between cost and the number of chairs produced is linear, we would write an equation that expresses this relationship in the slope intercept form. It is expressed as
y = mx + c
Where
m represents the slope
c = intercept.
Slope = (y2 - y1)/(x2 - 1)
y2 = final value of y = 4800
y1 = initial value of y = 2200
x2 = final value of x = 300
x1 = initial value of x = 100
Slope, m = (4800 - 2200)/(300 - 100) = 2600/200 = $13 per chair.
To determine the intercept, we will substitute y = 4800, x = 300 and m = 13 into y = mx + c. It becomes
4800 = 13×300 + c = 3900
c = 4800 - 3900 = 900
The equation becomes
y = 13x + 900