Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
Answers
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
Related Questions
.
Find the y-intercept of y - x = 7.
Answers
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
Answers
Please answer ASAP I need to know
Answers
Here is my answer. I hope this is helpful.
Enter the number that belongs in the green box
Answers
Answer:
60
Step-by-step explanation:
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:
a.
Add the next even number
c.
Cube the number of the term, n
b.
Square the number of the term, n
d.
Add 2 + the number of the term, n
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:36
Step-by-step explanation:it just is
cosec 45^0
= ______ .
Answers
Answer:
cosec45° = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the identity
cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Then
cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]
URGET: Inscribed Angles
Find the measure of angle R.
Answers
Answer:
∠ R = 50°
Step-by-step explanation:
The inscribed angle R is half the measure of its intercepted arc QS
QS = 360° - (120 + 140)° = 360° - 260° = 100° , then
∠ R = 0.5 × 100° = 50°
[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?
y=82(1.045)
Answers
Answer: pls help with the answer this is hard
Step-by-step explanation: i really need help!!!
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answers
Answer: 34
Hope this helps :)
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answers
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answers
tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0
tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0
tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0
( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0
tan( θ ) - 1 = 0
θ = π/₄
tan( θ ) - √3 = 0
θ = π/₃
so θ = π/₄ and θ = π/₃
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
Find the equation of a line through the coordinate (3, -2) and parallel to the line represented y = 1/2x - 2.
Answers
Answer:
y=1/2x-7/2
Step-by-step explanation:
Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.
Evaluate each expression
7 + 9=
43 - 5=
Answers
7+9=16
43-5=38
43-5= 38
Explained: it’s pretty easy lol
Solve for X
Solve for X
Solve for X
Answers
Answer: it is 4
Step-by-step explanation:
Answer:
Opposite sides of the parallelogram are congruent
[tex]3x+4=16[/tex][tex]3x=16-4[/tex][tex]3x=12[/tex][tex]x=12/3[/tex][tex]x=4[/tex]------------------------hope it helps...have a great day!!what does it mean to evaluate an expression in 5th grade
Answers
Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answers
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
Learn More:
https://brainly.com/question/6305087?referrer=searchResults
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answers
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 2411?
Answers
Answer:
18
Step-by-step explanation:
Using diagonals from a common vertex, how many triangles could be formed from a
24-gon?
Answers
Answer:
22 triangles in a 24-gon.
Step-by-step explanation:
24−2=22
There are 22 triangles in a 24-gon.
Answer:
13 triangles in a 15-gon
Step-by-step explanation:
15-2=13
Please help me question is in the picture
Answers
Answer:
1. Down
2. 9 units down
3. Left
4. 5 units left
Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.
Answers
Answer: x=-3
Step-by-step explanation:
Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.
5(2x−3)=20x+15
5(2x) + 5(-3) = 20x + 15
10x - 15 = 20x + 15
-10x - 15 = 15
-10x = 30
x = -3
$1,000 at 7.5% for 30 months
Answers
Step-by-step explanation:
principal=1000
rate=7.5
time=30 moths
interest= principal multiplied to rate multiplied to time by 100
which give 100multiplied to 7.t multiplied to 30 by 10p
which gives 22500by 100
which gives 225
amount= interest plus principal
= 225+1000
=1225
What is the sum of the degree measures of the complement and the supplement of a 16° angle?
Answers
Answer:
270?
Step-by-step explanation:
180 + 90 = 270
please help me!!!!!!!!!
Answers
Answer:
120
Step-by-step explanation:
TQR = 180 - (35+25) = 120
TQP= 180-120=60
TNP=TQP =60
MNT= 180-60=120
hi please answer this xoxo will mark brainliest
Answers
since isosceles has 2 sides that are equal then,
270 - 108 = 162
divide 162 by 2
162 ÷ 2 = 81
so, C
Answer:
A.)
Step-by-step explanation:
108 + 100 + 62 = 270
If i have 172 centimetres of ribbon to decorate a gift basket. How many more centimetres of ribbon would i need to make 3 metres
Answers
1 meter = 100 centimeters
3 meters = 300 centimeters
subtract 300 by 172
= 128 more centimeters
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answers
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?
Answers
Tee Company: 9.65x + 43
Shirtz Company: 8.40x + 58
If you were to buy one shirt from each company these would be the prices,
Tee Company: $52.65
Shirtz Company: $66.40
I would recommend the Tee Company since the price per shirt is cheaper.
The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings
Answers
Answer:
there could be more than one answer...
Step-by-step explanation:
Answer:
Retirement Checking Savings
Step-by-step explanation:
in that order(khan said so)
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answers
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°