Angle ADC is a linear pair ( 180° )
[tex] \angle \: ADC = \angle \: ADE + \angle BDE[/tex]
[tex]180 \degree = 112 \degree - \angle \: BDE [/tex]
[tex] \angle BDE = 180 - 112[/tex]
=> BDE = 68°
Similarly,
BCE is a linear pair or straight line.
BEC = BED + DEC
=> 180° = BED + 126°
=> BED = 180° - 126°
=> BED = 54°
As we know that Sum of angles of triangle is 180° .
m + 68° + 54° = 180°
=> m + 122 = 180°
=> m = 180° - 122°
=> m = 58°
The value of m is 58° .
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $31.the total cost to rent 2 chairs and 6 tables is $22.what is the cost to rent each chairs and each table?
Answer:
$1.25 & $10.25
Step-by-step explanation:
Let c be the cost of renting one chair and t be the cost of renting table. We're given two equations:
#1. 5c + 3t = 37
#2. 2c + 6t =64
We have a system of equations. Using our system of equations calculator, we can solve this problem any of 3 ways below:
Chairs (c) cost $1.25Tables (t) cost $10.25Name: Unit 4: Congruent Triangles Date: Per: : Homework 1: Classifying Triangles H page 2
Khadija is saving money to buy a game. So far she has saved $8 , which is one-fourth of the total cost of the game. How much does the game cost?
I WILL GIVE BRAINLIST!! The perimeter of ABCD is 140. Solve for x, y, and z
* there is picture down below*
Answer:
ABCD is a kiteProperties:
AB = AD, CB = CD, AC⊥DB, AC is angle bisector of DAB and DCBFind x:
P = 140 2(2x + 7 + 4x +3) = 1406x + 10 = 706x = 60x = 10Find y:
3y - 1 and 28° are complementary3y - 1 = 90° - 28°3y - 1 = 62°3y = 63°y = 21°Find z:
4z and 58° are complementary4z = 90° - 584z = 32°z = 8°Answer:
x=10
y = 21°
z=8°
Step-by-step explanation:
we have
AB = AD, CB = CD,
AC perpendicular to DB, AC is angle bisector of DAB and DCB
Perimeter = 140
2(2x + 7 + 4x +3) = 140
6x + 10 = 70
6x = 60
x = 60/6=10
x=10
again
3y - 1 +28° =90
3y - 1 = 90° - 28°
3y - 1 = 62°
3y = 63°
y = 21°
again
4z+58°=90
4z = 90° - 58
4z = 32°
z=32/4
z=8°
Can someone help me with this plz??
Answer:
f(x) = -4x-1
f(7) = -(4)(7)-1
f(7) = -29
g(x) = 4x^2 - x
g(-4) = 4(-4)^2 - (-4)
g(-4) = 4(16) + 4
g(-4) = 64 + 4
g(-4) = 68
Let me know if this helps!
PLEASE HALP ALL MY POINTS AND BRAINIEST
Answer:
around 120
Step-by-step explanation:
Question above please answer asappp the picture picture please
Triangle Theorems please!!!!!!
Answer:
x = 8
Step-by-step explanation:
need help on geometry question
Step-by-step explanation:
sin 65=p/h
0.906=4/x
0.906x=4
x=4/0.906
x=4.41
hope it helps.
Answer:
x=9.46
Step-by-step explanation:
a = b·sin(A)/sin(B) = 9.46481
HELPP PLEASEEEEEEEEEE WILL GIVE BRAINLIST
Answer:
B. 2:1
Step-by-step explanation:
The smaller rectangle is 2x1, the bigger one is 4x2.
We obtain similarity ratio by comparing any corresponding side of two similar objects, so we can either compare the long sides
4:2; this is equivalent to 2:1
or the short sides:
2:1
Either way, we arrive at similarity ratio of 2:1
please help:) i would appreciate it lol
Answer:
subtotal: $65.00
8% sales tax: $5.20
total: $70.20
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, DB = 5.2 feet, and CD = 3.9 feet. Find the measure of ∠C to the nearest tenth of a degree???
Answer: 53.1
Step-by-step explanation:
could you help me? I will go over more than 10 points
Answer:
1. Cube
2. Triangular Prism
3. 73.5
Step-by-step explanation:
for the third question: 12.25 per square, 6 squares. 12.25 times 6 = 73.5
An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised to improve mathematics skills. The results showed no statistically significant improvement in mathematical skills, using a significance level of 0.05. The program is effective, which of the following would be an appropriate method for increasing power in this context?
a. Increase the sample size to 200 children.
b. Use a two-sided test instead of a one sided test.
c. Decrease the sample size.
d. Use alpha-0.01 instead of a-alpha.
e. Use a one sided test instead of a two-sided test.
Answer:
b) use a two-sided test instead of a one sided test.
Step-by-step explanation:
If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.
ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-intercept means...
Answer:
Step-by-step explanation:
The number of chapters read = y
Number of days spent to read = x
Slope of the line = [tex]\frac{5}{4}[/tex] ≈ 1.25
y-intercept = 2
Slope means "number of pages read per day"
For slope = 1.25 means "1.25 pages read per day"
y-intercept means "Number of pages read initially"
y-intercept = 2 means "2 pages have been already read"
Find a solution for each variable based on the given information.
Answer:
Whites don't deserve rights
Step-by-step explanation:
find the axis of symmetry and vertex. f(x)=2x2-8x+6
PLEASE JUST GIVE EXPRESSION. WILL GIVE BRAINLIEST
Samantha works part-time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.
Answer:
like a month she earns $462.30
so if you want like how many she earns in 4 years then,
just do $462.30×4
after calculation answer will come.
Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answer:
28
Step-by-step explanation:
Neat Question.
Thanks for posting.
The straign line (horizontal) makes an isosceles triangle inside the circle. So the bottom angle of the triangle is also 59 degrees. The central angle of the interior triangle is
180 - 59 - 59 = 62.
x and the 62 degree angle are complementary -- both are in the 90 degree angle triangle made by the tangent. x + 62 = 90
x = 90 - 62 = 28
Answer:
x = 28°
Step-by-step explanation:
PQ is tangent to circle O, ∠OPQ = 90°
∠QPR = 90-59 = 31°
mOP = mOR (radius) ∠PRO = ∠OPR = 59° (isosceles triangle)
∠PRO = ∠QPR + x° (triangle exterior angle)
x = 59° - 31° = 28°
A student received a coupon for 20% off the total purchase price at a clothing store. Let y be the
original price of the purchase. Use the expression below for the new price of the purchase. Write
an equivalent expression by combining like terms.
y-0.2y
Answer: 0.8y
Step-by-step explanation:
Original price of purchase = y
Since the received a coupon for 20% off the total purchase price at a clothing store, the expression for the new price will be:
= y - (20% × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
The equivalent expression is 0.8y.
Which is the graph of g(x) = 2^(x – 1) + 3?
PLSSSSSS HELLPPPPPPPPPPP
What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
400+1200
1600inches^2
can someone solve this, please?
[tex]3sin ^{2} (2x) = 1[/tex]
when x€[0,2pi]
9514 1404 393
Answer:
x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}
Step-by-step explanation:
Divide by the coefficient of the sine function, take the root, then use the arcsine function to find the angles.
[tex]3\sin^2(2x)=1\\\\\sin^2(2x)=\dfrac{1}{3}\\\\ \sin(2x)=\pm\sqrt{\dfrac{1}{3}}\\\\2x=\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi\\\\x=\dfrac{\pm\arcsin\left(\dfrac{\sqrt{3}}{3}\right)+n\pi}{2}[/tex]
The numerical values are approximately ...
x ∈ {{0.30773985, 1.26305647, 1.87853618, 2.83385280, 3.44933251, 4.40464913, 5.02012883, 5.97544545}
__
The graph shows the zeros of 3sin²(2x) -1.
geometry I need help find the value of theta and round your answer to the nearest tenth.
Answer:
54deg
Step-by-step explanation:
We need to compute the inverse cosine of 10/17. I can't do it by hand, so I used a calculator and it arrived at ~53.97deg which is 54deg rounded to the nearest tenth.
GIVING BRAINIEST!!!!!!!!!!!! 3 times the difference of 4g and 4 is less than -6 times the sum of -3g and 4!
Answer:
3(4g-4)<-6(-3g+4)
Solve for x
Pls help
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer.....
first we need to find the angle that is above 63 degrees, it will be much easier to know the next one....
= (Supplementary angle) 180 - 63
= 117
Expression = 23x + 2
= 23 x ? + 2
= (Multiplication of 23)
= 23 x 5 + 2
= 117
SIMPLE!
Have a look on the pic given below....
HOPE IT HELPS!
MARK ME BRAINLIEST....
FOLLOW ME!!!! :)
Which is an example of a statistical Question 1.How old am I?Question 2.How old is the teacher?Question 3.How old will I be after my next birthday?Question 4.How old are the students in math class? question 1. question 2. question 3. question 4.
Answer:
Question 3 or 4
Step-by-step explanation:
Answer:
question 4
Step-by-step explanation:
For the function f(x) = 1/2 x + 1
Find f(2)
Answer:
f(2) =2
Step-by-step explanation:
f(x) = 1/2 x + 1
Let x= 2
f(2) = 1/2 *2 +1
=1 +1
=2
Frisco ISD had a student enrollment of approximately 46,000 students in 2013 and is growing at an average rate of about 6% annually. If this rate continues the enrollment growth can be modeled using the equation 46000(1.06)t = y where t represents time in years and y represents number students. How many years will pass until the population of Frisco ISD is at 100,000 students? ≈ 13.33 years ≈ 85.91 years ≈ 5.62 years ≈ 2.05 years
Answer:
≈ 13.33 years
Step-by-step explanation:
The population of Frisco ISD after t years is given by the following equation:
[tex]y(t) = 46000(1.06)^{t}[/tex]
How many years will pass until the population of Frisco ISD is at 100,000 students?
This is t for which [tex]y(t) = 100000[/tex]. So
[tex]y(t) = 46000(1.06)^{t}[/tex]
[tex]46000(1.06)^{t} = 100000[/tex]
[tex](1.06)^{t} = \frac{100000}{46000}[/tex]
[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]
[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]
[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]
[tex]t = 13.33[/tex]
So the answer is ≈ 13.33 years
look at the picture for the question 10 points will mark brainilest
Answer:
you want to have an answer to the question do you, i wish i could help but im only here for my answers
Step-by-step explanation:
sorry
Answer:
B
Step-by-step explanation:
accidentally commented