Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8
cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (

) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8
cm² " .
_________________________________________________________
Answer:
y=20,x=9
When doing problems like this it is important to always note: whatever you do to one side of the = sign you have to do to the other side.
Step-by-step explanation:
For this problem it helps that they already give you what y equals to so you can plug y in the top equation to figure out what x is. See attachment for step by step process
Set up a ratio of height over shadow length:
3.2/1.29 = X/39.25
Cross multiply:
1.29x = 3.2 * 39.25
Simplify:
1.29x = 125.6
Divide both sides by 1.29:
x = 97.364 meters
Round to the nearest meter = 97 meters
8 bowls
2/(1/4)=8
Hope it helps