Answer:
See explanation

Step-by-step explanation:
The two triangles are similar if the ratio of the corresponding sides are proportional.
The ratio of the corresponding sides are:



The set of ratios which could be used to determine if one triangle is a dilation of the other is

If there are multiple correct options then check this one too.

Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
- Five widgets and three gadgets cost $109. 90
⇒ 5w + 3g = 109.9
Given:
- One widget and four gadgets cost $75. 70
⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Answer:
12.96pi
Step-by-step explanation:
area = r^2 *pi
= 3.6^2 * pi
= 12.96pi
Answer:
No; he did the survey incorrectly.
He surveyed 107 people, not 100.
Step-by-step explanation:
Draw a Venn diagram, when you are presented with information like this;
Presenting it in a Venn diagram would look like what is shown in the pic.
P.S. when drawing a Venn diagram, start with the information regarding individuals who fit in all categories and then work your way to the individuals who fit in just in one category.