Answer:
It's 78.6
Step-by-step explanation:
I hope this helps you
Answer:- B) No; they do not have congruent corresponding angles.
Explanation:-
In ΔGHI ,
∠G=46° and ∠I=27°
By angle sum property,
∠G+∠H+∠I=180°
⇒∠I=180°-∠G-∠H
⇒∠I=180°-46°-27°= 107°
In Δ JKL
∠K=108°and ∠L=27°
By angle sum property of triangles,
∠J+∠K+∠L=180°
⇒∠J=180°-∠L-∠K
⇒∠J=180°-27°-108°
⇒∠J=45°
Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.
⇒ They do not follow AA similarity criteria.
Thus ,the given triangles are not similar because they do not have congruent corresponding angles.
Answer:
5√7
Step-by-step explanation:
What we want to do is first just put the 175 in a sqrt like this:
√175
Next we do prime factorisation to try and simplify further.
175
/ \
25 7
/ \
5 5
We can figure out that this out √5^2 times 7
we can cancel the sqrt and the squared and simplify to 5√7
So there is your answer, 5√7.
If you have any questions feel free to ask. Also for the prime factorisation the formatting may be off, sorry for the inconvenience and have a good day!
The answer is C cause if you rotate it the shape looks different but if it had rotational symmetry it could be rotated less than 360 degrees and still look the same
Answer:
28 portraits
Step-by-step explanation:
Let's first figure out how many portraits Lamy can paint in 1 week, which is his <u>unit rate</u>. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.
In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is 
= 14 paintings per week.
Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a <u>directly proportional relationship</u>, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.
Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.
Hope this helps!
