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
SpyIntel [72]
3 years ago
7

7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the

Mathematics
1 answer:
tatiyna3 years ago
6 0

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

You might be interested in
Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students
Ksju [112]

Answer:

86

Step-by-step explanation:

In this question, we are asked to calculate the average mean score for a group of students split into two different emerging groups.

We calculate the total score for each of the groups. This is done by multiplying the average score by the number of students.

Total score of section A is 15 * 80 = 1,200

For section B, total score is 20 * 90 = 1,800

Overall score is thus 1200 + 1800 = 3000

We add the scores together and divide by the total number of students in both sections

Average score is thus 3000/35 = 85.71 which is approximately 86

3 0
3 years ago
A rectangular prism has a length of 4 cm and a width of 5 cm.The volume of the prism is 200 cu cm .The height is unknown.Explain
Kaylis [27]

Answer:

Well just gonna explain kn the bottom but the answer is 10

Step-by-step explanation:

what you would have to do first is to jusy do 5x4 which is 20 then since you wanna find the volume yoi qould juat do 200 divide by 20 which is 10

3 0
3 years ago
What are the solutions to the quadratic equation x^2 + 8x - 8 = 0?
Elanso [62]

Answer:

x=−4+2√6 or x=−4−2√6

E is the answer

4 0
2 years ago
Help meeeee please. ‼️‼️‼️‼️
KatRina [158]

Step-by-step explanation:

look at the picture !

she has to paint actually 6 rectangles :

the 3 tops of the 3 stairs.

and the 3 vertical front boards (the front of each step of the stairs).

what is the area of these rectangles ? summing up all 6 - that is the surface area to be painted.

each top rectangle is clearly

82×19 (19 cm deep) = 1558 cm²

each front board is

82×12 (12 cm high) = 984 cm²

so, in total we have

3×1558 + 3×984 = 4674 + 2952 = 7626 cm²

as surface area to be painted.

8 0
2 years ago
A home business has an average income of $900.00 per month with a standard deviation of $15.00. If the income in a given month i
Llana [10]
Answer = 2.00

Z score is a statistical that corresponds to the standardization of the regular score to a normal distribution

The formula for Z score is Z = [X - mean ]./ (standard deviation)

Here X = 930.00; mean = 900.00; and standard deviation = 15.00

Then, Z = [930.00 - 900.00] / 15.00 = 30.00 / 15.00 = 2.00

Therefore, your answer is 2.00

Hope I helped :)
3 0
3 years ago
Other questions:
  • Find the equation that is perpendicular to 7y= -3x passing through (9,1).
    7·1 answer
  • What’s the slope of a line that passes through the points (-3,7) and (-3, 4)?
    11·2 answers
  • Find the 12th partial sum of <br>∞<br>∑  (-2i-10)<br>i-1
    13·2 answers
  • What is the value of X?
    11·1 answer
  • Find the sum of the geometric sequence. (1, 1/1, 1/4, 1/8, 1/16)
    7·1 answer
  • Solve for x:<br> 2x +3=9
    13·2 answers
  • Tell whether the equation has one, zero, or infinitely many solutions.<br> 8(x-4) + 19 = 8x - 13
    8·1 answer
  • Explain to me in words how you would find the slope of this line and explain your answer...
    12·1 answer
  • Please help me with this question.
    11·2 answers
  • 5p + 3 = 15 <br>please convert this into a WORD PROBLEM​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!