Answer:
m∠SQR = 74°
Step-by-step explanation:
Points P, Q and R are collinear.
Therefore, angles PQR and angle RQS are the linear pair of angles.
Since linear pair of angles are supplementary angles.
m∠PQR + m∠RQS = 180°
By substituting the measures of the given angles,
(3m + 1) + (2m + 4) = 180
5m + 5 = 180
5m = 180 - 5
5m = 175
m =
m = 35
Since, m∠SQR = (2m + 4)°
= (2×35) + 4
= 74°
Therefore, m∠SQR = 74° is the answer.
There were 340,000 cattle placed on feed
How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?
Given the fraction of total cattle for 700 - 799 pounds is 2/5
Let x be the number of cattle between 700 - 799 pounds
We make a proportion using the fraction
Cross multiply it and solve for x
340000* 2 = 5x
680000 = 5x
Divide by 5 on both sides
So x= 136,000
There were 136,000 cattle between 700 and 799 pounds
Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is of Bianca's height plus 32 inches, so the equation is.
Meredith's height =
Substitute Meredith's height in above equation.
Now we solve the above equation for x.
By cross multiplication.
28 divided by 2.
Therefore, the height of the Bianca is 42 inches.
£87.00
Emily's dad pays 3 parts of the meal
Divide £52.20 by 3 to find one part of the ratio
= £17.40 ← 1 part of the ratio
2 parts = 2 × £17.40 = £34.80 ← Emily's share
total cost = £52.20 + £34.80 = £87.00