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
coldgirl [10]
3 years ago
11

Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF

is a parallelogram
Mathematics
1 answer:
Lemur [1.5K]3 years ago
3 0

9514 1404 393

Explanation:

Here is one way to go about it.

<u>Statement</u> . . . . <u>Reason</u>

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram

You might be interested in
Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7?
sergiy2304 [10]

x² - 2x - 35

substituting in the values for m and n gives

(x + 5)(x - 7) → expand using FOIL

= x² - 7x + 5x - 35 = x² - 2x - 35



4 0
4 years ago
Find the limit of the function algebraically x--&gt;9 x^2-81/x-9
Hitman42 [59]
\bf \lim\limits_{x\to 9}~\cfrac{x^2-81}{x-9}\implies \cfrac{\stackrel{\textit{difference of squares}}{x^2-9^2}}{x-9}\implies \cfrac{\underline{(x-9)}(x+9)}{\underline{x-9}}\implies x+9&#10;\\\\\\&#10;\lim\limits_{x\to 9}~x+9\implies 9+9\implies 18
6 0
4 years ago
ERROR ANALYSIS Describe the error in solving for one of the variables in the linear system 5x – 7y = 16 and x + 7y=8.
kompoz [17]

Answer:

The expression 5x+x does not equal 4x

X=4

7 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
igomit [66]

Answer:

\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x

Step-by-step explanation:

This derivative consist in the sum of three functions: f(x) = 81\cdot \sin^{-1} x^{9}, g(x) = - x^{81} and h(x) = - x^{2}. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:

\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)]

Now, each derivative is found by applying the derivative rules when appropriate:

f(x) = 81\cdot \sin^{-1} x^{9} Given

f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} (Derivative of a arcsine function/Chain rule)

g(x) = - x^{81} Given

g'(x) = -81\cdot x^{80} (Derivative of a power function)

h(x) = - x^{2} Given

h'(x) = -2\cdot x (Derivative of a power function)

\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x (Derivative for a sum of functions/Result)

6 0
3 years ago
Could you help me solve?
Ilya [14]

Answer:

  1.14200738982×10^26

Step-by-step explanation:

Substitution can make this integral much easier to evaluate.

<h3>Substitution</h3>

Let u = 7x² -x. Then du = (14x -1)dx. The limits on x become different limits for u:

  for x = 1: u = 7(1²) -1 = 6

  for x = 3: u = 7(3²) -3 = 60

<h3>Integral</h3>

  \displaystyle\int_1^3{(14x-1)e^{(7x^2-x)}}\,dx=\int_6^{60}{e^u}\,du=\left.e^u\right|^{60}_6\\\\=e^{60}-e^6\approx e^{60}\approx\boxed{1.14200738982\times10^{26}}

8 0
2 years ago
Other questions:
  • Jon is looking into a 4,250 vacation package that is offered for 25% off there is 9% resort fee added on to the total how much w
    6·1 answer
  • The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
    7·2 answers
  • A medical researcher wondered if there is a significant difference between the mean birth weight of boy and girl babies. Random
    11·1 answer
  • Help me with this question
    13·1 answer
  • WILL ANSWER FIRST RIGHT ANSWER AS BRAINIEST
    8·1 answer
  • Name the types of angles shown.<br> Check all that apply.
    10·2 answers
  • HELP ME BABES!!!<br> Use the equation below to find P, (P=a+b+c)<br> if =a13, =b17, and =c7
    13·1 answer
  • How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
    13·1 answer
  • Find the range of f in given ordered pair f(X)=8x-9,D={4,5,6}. plz help fastttt​
    15·1 answer
  • Least to greatest 1/2, .25, -3.5, 2.5, -4/5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!