Answer:
Bridget will get the amount as £26.
Step-by-step explanation:
Given:
Amount Stephen gets = £65
Amount shared in ratio = 5:2
We need to find the amount Bridget gets.
Solution:
Let the common factor in the ratio be 
.
Amount Stephen gets = 
Amount Bridget gets = 
But we know that;
Amount Stephen gets = £65
so we can say that;
Now dividing both side by 5 we get;
So now we get;
Amount Bridget gets = 
Hence Bridget will get the amount as £26.
Answer:
242.52 cubic inches
Step-by-step explanation:
Volume of the cake pan = Length × Width × Height
From the about question, we have the following dimensions for the cake pan
8 inches wide = Width
11 inches long = Length
7 cm deep = Height
We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.
Converting Height in cm to inches
From the question,
2.54 cm = 1 inch
7cm = x inch
Cross Multiply
2.54 × x = 7 × 1
x = 7/2.54
x = 2.7559055118 inches
Volume of the cake pan =
8 × 11 × 2.7559055118
= 242.51968504 cubic inches
Approximately, the volume of the cake pan = 242.52 cubic inches
What is the maximum volume, in cubic
inches, the cake pan can hold is 242.52 cubic inches
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
Answer:
x = 58°
Step-by-step explanation:
The sum of the angles in Δ AHI = 180 , then
∠ AIH = 180° - (66 + 56)° = 180° - 122° = 58°
x and ∠ AIH are corresponding and are congruent , then
x = 58°
