Answer:
m∠3 = 56
Step-by-step explanation:
Let's solve for x, first:
x + 9 = 3x - 85
9 = 2x - 85
94 = 2x
94/2 = x
47 = x
Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:
=> m∠7 = x + 9
=> m∠7 = 47 + 9
=> m∠7 = 56
Since m∠7 ≅ m∠3
and m∠7 = 56, then
<u>m∠3 = 56</u>
Hope this helps!
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.

For the painting,

For the frame,

Since she wants to maintain the same ratio; both scale must be the same.
i.e.

Express as fraction


Make w the subject


<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>
The length of q, to the nearest 10th of a centimeter is 7.6 cm.
Given in question,
In ΔOPQ,
o = 9.2 cm
p = 2.4 cm
∠Q = 37°
Cosine formula ⇒ cos θ = 
Putting the values in equation,
cos 37 = 
0.799 = 
0.799*44.16 = 90.4 - 
32.28 = 90.4 - 
= 90.4 - 32.28
= 58.12


q = 7.6 cm (to nearest 10th)
Hence, length of q is 7.6 cm.
Learn more about length on:
brainly.com/question/8552546
#SPJ1
Answer:
he would be at 16.50ft. below sea level.
Step-by-step explanation:
If you are below sea level, the feet would be negative. -11.75 + -4.75 would be -16.50ft below sea level.
Let me know if this helps!!!!
:D