Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles MNP and MAB are similar by AA Similarity Theorem
so

we have




substitute the given values

Solve for x

Step-by-step explanation:
√3 I think check the answer for sure
<h3>
Answer: 1075 square feet</h3>
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Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
- We can write "square feet" as "sq ft" or as "ft^2" without quotes.
- The portion "5 ft", in the upper left corner, is never used.
Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
Let the larger number be w and the smaller number be k;
5w-11=3k
3k+16=4w
Reorganizing the equations;
5w-3k=11
4w-3k=16
Subtracting equation 2 from equation 1:
w=-5
Replacing value of w in equation 1;
5(-5)-11=3k
-25-11=3k
3k=-36
k=-12
The numbers are -5 and -12