Answer:

Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC

The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so

substitute

we have



remember that




The measures of triangle CGH are 
Triangle GHE


remember that

substitute and solve for m<GEH



The measures of triangle GHE are 
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.
A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.
The dimensions of the original photo is 6 x 6.
Answer:
20%
Step-by-step explanation:2.8-3.5 then divide that by 3.5 and multiple the answer by 100 to get the percent
The first answer is 3/34 sec and the second answer is 15/34 sec.
Set up a proportion for these problems. For the first question,
340/1 = 30/x
Cross multiply:
340*x = 1*30
340x = 30
Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34
For the second question,
340/1 = 150/x
Cross multiply:
340*x = 150*1
340x=150
Divide both sides by 340:
340x/340 = 150/340
x = 150/340 = 15/34
Answer:
Each cake cost £ 13.00
Step-by-step explanation:
We were given that, each cake costs
or £ 
Andy buys
cakes.
Andy's cost is
£
Betty buys 4 times as many cakes as Andy.
Betty's cost is
£
£
Colin buys 3 more cakes than Andy
Colin's cost is
£
The total cost of the cakes is £
.
This implies that,

We expand to get,

We group like terms to get,

This gives us,

This implies that,



Therefore each cake cost £ 13.00