1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kap26 [50]
3 years ago
12

Please help The diagram shows a 5ft student standing near a tree

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar.  Similar triangles have equal angles and sides that are proportional to each other.  Since the base of each triangle is given, we can find the proportion of the sides:

\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

\frac{1}{5}=\frac{5}{x}, where 'x' represent the height of the tree

cross-multiply:  x = (5)(5) or 25 ft

You might be interested in
16. For quadrilateral ABCD, determine the most precise name for it. A(2,3), B (12,3), C(8,6) and D(5,6). Show your work and expl
maw [93]
The correct answer is a Trapezoid.
First, I drew and labeled the points on a graph. When these points are connected, you can see that the space between DA and CB is not equal, meaning that the trapezoid is not isosceles.
6 0
3 years ago
∠F and ∠G are supplementary angles. If m∠F is two less than six times the measure of ∠G, find the measures of both angles
Mnenie [13.5K]

Answer:

∠ G = 26°, ∠ F = 154°

Step-by-step explanation:

Express ∠ F in terms of ∠ G, that is

F = 6G - 2

and since the angles are supplementary, then

G + 6G - 2 = 180, that is

7G - 2 = 180 ( add 2 to both sides )

7G = 182 ( divide both sides by 7 )

G = 26

Thus

∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°

4 0
3 years ago
( 1/4) ꓥ -3 =<br> A= -64<br> B= -1/64<br> C= 1/64<br> D= 64
Anna11 [10]

Answer:

C-1/64

Step-by-step explanation:

(1/4)(1/4)(1/4)=1/64

<em>Mark the brainliest </em>

5 0
3 years ago
A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
PtichkaEL [24]

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

5 0
2 years ago
What is the value of x in the equation below?<br><br> 6 (x minus 8) = 72
9966 [12]

Answer:

x = 20

Step-by-step explanation:

6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20

5 0
3 years ago
Read 2 more answers
Other questions:
  • A group of 200 workers 15 are chosen to participate in a survey about the number of Miles they drive to work each week.. In this
    11·1 answer
  • A boy weighs 55 pounds. How much does he weigh in kilograms?
    11·1 answer
  • Complete the proof showing that DE is parallel to AC
    13·1 answer
  • Find the missing side length in the image attached.
    13·2 answers
  • This is math And its hardishhhh :/
    7·2 answers
  • What is the perimeter of rectangle e f g h
    11·1 answer
  • 0.3(n - 5) = 0.4 – 0.2n
    5·1 answer
  • The distance between two towns is 7km on a map, the distance between the towns is 28cm. Find as a ratio, the scale of the map?
    15·1 answer
  • Only answer if you know the answer and if you understand it.
    13·1 answer
  • Find the value of x such that the data set has given mean is 110<br><br><br> 102,121,104,112,110,x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!