find m<1 and m<3 in the kite. the diagram is not drawn to scale.
a. 51;51
b. 39;39
c. 39;51
d. 51;39
Answers
Answer: Choice c. 39; 51
======================================================
Explanation:
Using the SSS congruence theorem, we can show that triangle ABC is congruent to triangle ADC. This in turn means that angle BAC is congruent to angle DAC as these are corresponding angles.
So angle 1 is 39 degrees.
----------------------------------------
For any kite, the diagonals always are perpendicular (this can be proven using a similar idea as shown above, but a bit more steps are needed). This means they meet at a right angle, and angle 2 is 90 degrees.
Let point E be the intersection point of the diagonals.
Since angle AEB is 90, this makes angle AED also 90.
Focus entirely on triangle AED. This is a right triangle.
In this triangle, A = 39, E = 90, and D is unknown
Let's find angle D
A+E+D = 180
39+90+D = 180
129+D = 180
D = 180 - 129
D = 51
Angle D is 51 degrees, which also means angle ADB = 51 degrees. This is the measure of angle 3.
----------------------------------------
We found that
angle 1 = 39 degreesangle 3 = 51 degreesTherefore, the final answer is choice C
Related Questions
please help me answer
Answers
The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me
Answers
Answer:
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]P = -4[/tex] --- missing from the question
[tex]Distance = 6\frac{1}{2}[/tex]
Required
Determine the possible value of Q
The distance can be calculated using absolute function as:
[tex]Distance = |Q - P|[/tex]
Substitute values for distance and P
[tex]6\frac{1}{2} = |Q - (-4)|[/tex]
[tex]6\frac{1}{2} = |Q +4|[/tex]
The absolute function can then be split as:
[tex]6\frac{1}{2} = Q + 4[/tex] or [tex]-6\frac{1}{2} = Q + 4[/tex]
Make Q the subject in both cases:
[tex]Q = 6\frac{1}{2} - 4[/tex] or [tex]Q = -4 - 6\frac{1}{2}[/tex]
[tex]Q =2\frac{1}{2}[/tex] or [tex]Q =- 10\frac{1}{2}[/tex]
Please help me ......
Answers
Answer:
4004+4009 = 8013
8013÷ 2 = 4006.5
A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeters? Select all the correct answers *
b = 2 and h = 6
b = 3 and h = 8
b = 4 and h = 3
b = 6 and h = 4
b = 12 and h = 2
Answers
Answer:
Step-by-step explanation:
area = ½bh = 12 mm²
bh = 24 mm²
(b,h) = (3,8) and (6,4)
please help and show work
y=-8x
y=-4-10x
Answers
{ y=-4-10x
Substitution Method:
-8x=-4-10x
x=-2
y=-8(-2)
y=16
(x,y) = (-2,16)
Check solution
{ 16=-8(-2)
{ 16=-4-10(-2)
{ 16=16
{ 16=16
Elimination Method:
{ 8x+y=0
{ 10x-y=-4
{ 8x+y=0
{ -10x-y=4
-2x=4
x=-2
8(-2)+y=0
y=16
(x,y) = (-2,16)
*For checking, its the same with the substitution method
How do you solve this (for x) and what is the answer for x?
Answers
Answer:
Area for a rectangle-
l x b
(x + 5)+ (2x) =110
3x=110-5
x=105/3
x=35
Thus the answers are-
2 x 35
=70
35 + 5
=40
A video game store was getting rid of old games, selling them 3 for $34.26. If you
only bought 1 game, how much would you pay?
а)$11.42
b)$34.26
c)$22.84
d)$13.00
Answers
The length of an object, f(x), in yards, is a linear function of the length of the object, x, in feet. What units should be used to describe the rate of change in f(x) with respect to x?
A.
Inches per foot
B.
Feet per yard
C.
Yards per foot
D.
Yards per inch
Answers
Answer:
DADDY CHILL
Step-by-step explanation:
1/2 divided by 4 what does that =
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
The answer is 0.125
Step-by-step explanation:
Hope this helps
POPULATION In 2000, the world population was calculated to be 6,071,675,206. The world population increases at a rate of about 1.2% annually.
Write a function that represents the world population y after x years.
A) y = 6,071,675,205(1.012)^x
B) y = 6,071,675,206(1.012)^x
C) y = 6,071,605,205(1.012)^x
D) y = 6,071,675,215(1.012)^x
PLEASE HELP!!
Answers
Answer:
B) y = 6,071,675,206(1.012)^x
Step-by-step explanation:
It appears that this question asks for an exponential model that represents the population growth. I believe you could view the equation in the form y = (initial population)(rate)^x
Since the initial population is 6,071,675,206, you could substitute that in to get y = 6,071,675,206(rate)^x
Since your rate is increasing by 1.2% (0.012 in decimal form), just convert that to decimal form (knowing that 100% = 1.0, add 0.012 to get 1.012). Substitute that in to get y = 6,071,675,206(1.012)^x
Hope that helps. Feel free to let me know if it made sense.
Find the value of X, Z, and Y in the graph below?
Answers
9514 1404 393
Answer:
(x, y, z) = (49, 58, 122)
Step-by-step explanation:
The same-side exterior angles have a sum of 180°.
(x +9) +(3x -25) = 180
4x -16 = 180
x -4 = 45
x = 49
Vertical angles are congruent:
y = 49 +9 = 58
z = 180 -y = 122 = 3(49) -25
The values of x, y, and z are ...
X = 49Z = 122Y = 58How do I graph this?
Answers
HELP ASAP! What is the slope of the line???
Answers
Answer: the slope is 1
Step-by-step explanation:
Slope is basically rise over run. Looking at the graph you see it rises one unit and then goes over to the left by one unit. 1÷1 equals 1 so That is your slope.
what is the slope of the line that passes through the points (3,-2) and (9,-2)? 0 3 -3 undefined
Answers
Answer:
[tex]\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}[/tex]
Step-by-step explanation:
Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by [tex]\tan\theta[/tex]
Slope of a line is :-
[tex]\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}[/tex]
On using this formula we can find the slope of the line .
Putting the respective values :-
[tex]\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}[/tex]
Answer:
Its zero -w-
Step-by-step explanation:
A French restaurant used 555,580 ounces of cream last year. This year, due to a menu update, it used 45% less. How much cream did the restaurant use this year?
Answers
Answer:
305,569 ounces of cream.
Step-by-step explanation:
Take 45% and turn it into a decimal, which is 0.45.Multiply 555,580 by 0.45. This is 250,011Since the keyword is less, we want to subtract 555,580 by 250,011. This is 305,569. This is your answer.Please help, I’ll give brainliest
Answers
Answer:
2 more hours
Step-by-step explanation:
1 1/2 + 2 1/6 = 1 3/6 + 2 1/6 = 3 4/6 = 3 2/4
3 2/3 - 1 2/3 = 2
how to solve this one
Answers
Answer:
Step-by-step explanation:
i think it equals hard hard hard dang it look hard
Answer:
There's the graph
the graph of y = 4x^2 - 4x - 1 is shown use the graph to find estimates for the solutions of a and b
Answers
Answer:
a) -0.25 and 1.25
b) -0.5 and 1.5
Step-by-step explanation:
a) For 4x^2-4x -1 = 0
What we have to do here is to simply find he points on the x-axis in which the graph crosses it
we have this as;
approximately-0.5 and 1.5
what we are saying is that the plot crosses the x-axis at x = -0.25 and x = 1.25
ii) what we have to do here is to find the point at which y = 2
After finding this point, we trace it to the plot sideways, before we trace to the x-axis
By tracing, we have the crossing on the x-axis at these points at -0.5 and 1.5
this is my question please help me
Answers
The ages of three girls; Mandy, Dora and Ann are, 113 base 4 , 133 base 4 , and 131 base 4 respectively;
find the difference between the sum of the ages of Dora and Ann and that of Mandy
Answers
Answer:
211 base 4
Step-by-step explanation:
Sum of dora and Ann = (133+131) base 4
= 330 base 4
Difference = (330-113) base 4
= 211 base 4
What is the measure of the arc in the
picture above?
I will make BRAINLIEST !
Answers
Answer:
9.42 km
Step-by-step explanation:
Measure of the arc
[tex] = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ = \frac{45 \degree}{360 \degree} \times 2 \times 3.14 \times 12 \\ \\ = \frac{1}{8} \times 75.36 \\ \\ = 9.42 \: km[/tex]
Find the area of a triangle with a base of 3 cm and height of 8 cm
Answers
Answer: The area of a triangle is 12cm²
Answer:
8 x 3 = 24cm
Step-by-step explanation:
8 + 8 + 8 = 24cm
or
3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 24cm
The measures of the legs of a right triangle both measure 7 yards. What is the length of the hypotenuse? Round your answer to the nearest tenth.
Answers
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {7}^{2} + {7}^{2} = {98}^{2} [/tex]
[tex] \sqrt{98} = 9.9 \: yards[/tex]
Find the area plzzzzzzxxxzzxxxzzzzzzz
Answers
Step-by-step explanation:
step 1. break up the shape into 2 triangles and one rectangle
step 2. A = area of triangle 1 (t1) + area of triangle 2 (t2) + area of the rectangle (r)
step 3. t1 = (1/2)bh where b is the base and h is the height. definition of the area of a triangle.
step 4. t1 = (1/2)(3)(2) = 3ft^2.
step 5. t2 = (1/2)(3)(3) = 4.5ft^2.
step 6. r = bh where b is the base and h is the height. definition of the area of a rectangle.
step 7. r = bh = (8)(4) = 32ft^2.
step 8. A = t1 + t2 + r = 3 + 4.5 + 32 = 39.5ft^2.
WILL GIVE BRAINLIST AND LOST OF PIONTS!!!!!!!!!!!PLEASE HELP!!!
The community library charges a late fee of $0.25 per day for every book that is overdue. The charge for a video is shown in the table. Soren checks out one book and one video and returns them 5 days late. What is the total he will pay in late fees?
5 day video late fee: $
5 day book late fee: $
Total 5 day late fee: $
Answers
Answer:
5 day book fee would be $1.25 and 5 day video is $2.25 + 1.25= $3.50
Step-by-step explanation:
Answer:
$10.00
Step-by-step explanation:
Fee for book: $0.25 * 5 = $1.25
Fee for day: $1.75 * 5 = $8.75
Total fee: $1.25 + $8.75 = $10.00
The length of a rectangle is three times its width.
If the area of the rectangle is 75 ft?, find its perimeter
Answers
Answer:
I think the answer is 40.
Step-by-step explanation:
Since the length is three times its width, the width is 5 and the length is 15, since you find the area by doing length * width you get 75. You get perimeter by adding all the sides which is, 5+5+15+15= 40.
pls answer guys if you do you get something good
Answers
Answer:
10 pounds of barley
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
7*5=35
therefore, 2*5=10
this is a quiz on special right triangles. please help me i cannot fail this. i will mark brainliest
Answers
Answer:
x=4
Step-by-step explanation:
Consider ΔKLJ:
sinθ=opposite/hypotenuse
sin30=LJ/8√2
LJ=0.5*8√2=4√2
Consider ΔMLJ:
sinθ=opp/hyp
sin45=x/4√2
1/√2=x/4√2
4√2/√2=x
x=4
Increase £19060 by 9% Give your answer rounded to 2 DP.
Answers
Answer:
Step-by-step explanation:
= £19060 * 9%
= 1715.4
Increase £19060 by 9%
= £19060 + 1715.4
= £20,775.4
Hope this helps you. Do mark my answer as brainly.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 399 attendees. For safety training next month, she reserved 1 conference room and 5 ballrooms, which can seat 363 attendees. How many attendees can each room accommodate?
Answers
Answer:
x=18 y=69
Step-by-step explanation:
3x+5y=399
x+5y=363
2x=36
x=18
18+5y=363
5y=345
y=69