U would multiply 5/8 and -120/1 and you should get -600/8 but u have to make it into a mixed number which would be 75.
Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
<h3>What are
similar triangles?</h3>
Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.
triangle FBT is similar to triangle ADQ with a scale factor of 5/3.
AD = 9; BF = 9 * 5/3 = 15
DQ = 6; BT = 6 * 5/3 = 10
FT = 21; AQ = 21 * 3/5 = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
Find out more on similar triangles at: brainly.com/question/2644832
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer:
- m = -3/4
- y-intercept = 399
- slope-intercept equation: y = -3/4x + 399
Step-by-step explanation:
It can be easiest simply to solve the equation for y.
3x + 4y = 1596
4y = -3x + 1596 . . . . subtract 3x
y = -3/4x + 399 . . . . divide by 4
From this equation in slope-intercept form you can read the slope as -3/4 and the y-intercept as 399. You already know the equation.
The measurements that will be dragged into the box is 1.4 feet, 1.31 feet, 1.44 feet.
The rest of the measurement wouldn't be within the bounds and thus will not be dragged in.
