Answers
Answer:
∠1 = 43
∠2 = 17
∠3 = 120
∠4 = 60
∠5 = 60
∠6 = 60
∠7 = 17
∠8 = 120
∠9 = 43
Step-by-step explanation:
11) ΔABC is isosceles triangle. In isosceles triangle two sides are equal and angles opposite to two sides are equal {Isosceles triangle property}
∠C = ∠A
9x - 47 = 4x + 3
9x - 4x - 47 = 3
5x - 47 = 3
5x = 3 + 47
5x = 50
x = 50/5
x = 10
∠1 = 4x +3 = 4*10 + 3 = 40 + 3
∠1 = 43
∠9 = 43
ΔDBE is equilateral. So all angles are equal in equilateral.
Each angel in equilateral triangle = 180÷ 3 = 60
∠4 = ∠5 = ∠6 = 60
∠3 + ∠4 = 180 {linear pair}
∠3 + 60 = 180
∠3 = 180 - 60
∠3 = 120
∠6 + ∠8 = 180 {linear pair}
60 + ∠8 = 180
∠8 = 180 - 60
∠8 = 120
In ΔABD,
∠1 + ∠2 + ∠3 = 180 {angle sum property of triangle}
43 + ∠2 + 120 = 180
∠2 + 163 = 180
∠2 = 180 - 163
∠2 = 17
In ΔBEC,
∠7 +∠8 +∠9 = 180 {angle sum property of triangle}
∠7 + 120 + 43 = 180
∠7 + 163 = 180
∠7 = 180 - 163
∠7 = 17
Related Questions
what is the equation in point slope form of a line that passes through the points (-4,-1)and5,7)
Answers
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
using the image attached as reference
(-4,-1) - the -4 becomes x1, and the -1 becomes y1
(5,7) - the 5 becomes x 2 and the 7 becomes y2
plug this information into the equation
7-(-1)
m=----------
5-(-4)
solve
8
m=----------
9
so your slope would become 8/9
Doctors nationally believe that 74% of a certain type of operation are successful. In a particular hospital, 57 of these operations were observed and 47 of then were successful. At alpha is equal to 0.05, is this hospital's success rate different from the national average
Answers
You deserve a real answer
Ask your teacher
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
center: (2,-5), point on the circle: (-4,-5)
Answers
Answer:
25= (x-2)² + (y+4)²
Hope this helps!!!
Answer:
[tex](x-2)^2+(y+5)^2=36[/tex]
Step-by-step explanation:
The standard form of a circle is given by the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (2, -5). So, we can substitute 2 for h and -5 for k. This yields:
[tex](x-(2))^2+(y-(-5))^2=r^2[/tex]
Simplify:
[tex](x-2)^2+(y+5)^2=r^2[/tex]
Now, we need to determine r. We know that a point on the circle is (-4, -5). Thus, we can determine r by substituting -4 for x and -5 for y. This yields:
[tex](-4-2)^2+(-5+5)^2=r^2[/tex]
Evaluate:
[tex](-6)^2+(0)^2=r^2[/tex]
Evaluate:
[tex]36=r^2[/tex]
Hence, the radius squared is 36.
We do not actually need to solve for r, as we will square it anyways.
We will substitute 36 for r squared. Hence, our equation is:
[tex](x-2)^2+(y+5)^2=36[/tex]
The radius will thus be 6 units.
A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Answers
Answer:
15 = 7 + m
Step-by-step explanation:
If 15 is the total then it goes on the other side of the equal sign. You have one side so if you add it to the missing side it should equal 15.
Which of the following is a factor of 7x2 - 12x - 4? (6 points)
O 7x - 2
O x + 2
Ox-4
O None of the above
Answers
Answer:
We conclude that 'None of the above' is the correct answer.
Step-by-step explanation:
Given the expression
[tex]7x^2\:-\:12x\:-\:4[/tex]
Breaking the expression into groups
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
Factor out [tex]x[/tex] from [tex]7x^2\:+\:2x[/tex]
[tex]=x\left(7x+2\right)[/tex]
Factor out -2 from [tex]\left(-14x-4\right)[/tex]
[tex]=-2\left(7x+2\right)[/tex]
so the expression becomes
[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]
[tex]=x\left(7x+2\right)-2\left(7x+2\right)[/tex]
Factor out the common term [tex]7x+2[/tex]
[tex]=\left(7x+2\right)\left(x-2\right)[/tex]
Therefore, from the given options, we conclude that 'None of the above' is the correct answer.
Find the measure of each numbered angle.
Answers
Answer:
∠3 = 22°
∠4 = 22°
∠5 = 88°
Step-by-step explanation:
86 + 72 = 158
180 - 158 = 22
∠3 ≅∠4 they're verticle angles
22+ 70 = 92
180 - 92 = 88
Help me with this question pleaseee
Answers
Answer:
3x=4x+19 (extarior angels of parallel )
3x-4x=19
_1x=19
x=_19
Troy has to order 8 pounds of ham,15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy‘a order?
Answers
Total cost is $93.75
Answer:
The answer is $93.75
Step-by-step explanation:
Which expression means 25% off an originally prices item?
a. 1.25p
b. P - 0.25p
c. 0.25p
d. P + 0.75p
Answers
Answer:
b.
Step-by-step explanation:
dfghjkldesrycfhgyhkjludawregdyhukhu
If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
a. 18°
b. 72°
c. 90°
d. 108°
Answers
Answer:
A. 18°
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Hence
sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°
Answer:
The answer is 18.
Step-by-step explanation:
90-72=18
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answers
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.00032, which shows a valid step in the process of calculating the pH of the substance?a. pH = - log 0.0032.b. - log(3.2.10-4)= pH.c. log(3.2.10-4)= pH.d. log(3.2.10*) = -pH.e. pH = log 0.00032.
Answers
Answer:
-log(3.2•10^-4)=pH
Step-by-step explanation:
The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.
According to the question;
The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions.Therefore, when H = 0.00032
pH = - log 0.00032However; 0.00032 can be written in standard form as; 3.2.10-⁴
Therefore, Choice B is correct.
Read more:
https://brainly.com/question/17093969
124.44 is 34 percent of what number?
Answers
Answer:
out of 100
Step-by-step explanation:
what is the solution to this equation?
x-4=17
A. x=13
B. x=11
C. x=23
D. x=21
Answers
Answer:
d. x=21
Step-by-step explanation:
x-4=17
x-4 +4=17+4
x=21
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Answers
Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x? One-half 2 8 12
Answers
Answer:
8
Step-by-step explanation:
Its right on edge
Answer:8
Step-by-step explanation:
what is the average rate of change of f(x)= –8x+20 over the interval [–17,–10].
Answers
Answer:
Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt
Step-by-step explanation:
Find the new amount.
15 liters increased by 60% is
( ? ) liters.
Answers
Answer:
24
Step-by-step explanation:
15*1.60=24
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The height, h, of the pebble after t seconds is given by the equation -16t^2+24t+1200 . How long after the pebble is thrown will it hit the ground?
Answers
Answer: 9.44 seconds
Step-by-step explanation:
A movement equation in the vertical axis is usually written as follows:
p(t) = (-g/2)*t^2 + v0*t + p0
where:
g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2
v0 is the initial velocity, in this case, 24 ft/s
p0 is the initial height, in this case, 1200ft
Then, when p(t) = 0ft will mean that the pebble will hit the ground, then we need to calculate:
p(t) = -16t^2+24t+1200 = 0
and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:
[tex]t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}[/tex]
Then the two solutions are:
t = (-24 + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)
t = (-24 - 278.2)/-32 = 9.44 seconds
Then the pebble needs 9.44 seconds to hit the ground
71 2/3 as a fraction
Answers
Answer:
215/3
Step-by-step explanation:
71 multiplied by 3 (denominator) + 2 (remainder) divided by 3
The improper fraction for the given mixed fraction is 215/2.
The given fraction is [tex]71\frac{2}{3}[/tex].
These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)
They are written and can be converted to fraction as: [tex]a\frac{b}{c} = \frac{(a\times c)+b}{c}[/tex]
Now, [tex]71\frac{2}{3}=\frac{71\times3+2}{3}[/tex]
= (213+2)/3
= 215/3
Therefore, the improper fraction for the given mixed fraction is 215/2.
Learn more about mixed fractions here:
brainly.com/question/886123.
#SPJ6
Nora is 4 years older than Hina . If the sum of their ages is at most 45 years ,find the maximum possible age of Hina. *
b) 25 years
a) 20 years
c) 15 years
choose the correct answer
Answers
Answer:
a) 20 years
Step-by-step explanation:
Hina: x
Nora: x + 4
x + x + 4 ≤ 45
2x + 4 ≤ 45
2x ≤ 41
x ≤ 20.5
20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.
Jaclyn and Henry secured a $225,000 mortgage at 5% annual interest for 20 years. This results in a monthly payment of $1484.90 and the interest paid in month one is $937.50. Assume they only make the minimum payment each month. How much is the balance reduced in month one? What is the beginning balance for month two?
Answers
cv6gv uig. ih 8h 88h oh 9h
Answers
Answer:
what
Step-by-step explanation:
Answer:
HAVE A FANTASTIC DAY!!!XD
Step-by-step explanation:
BRAINLIEST WOULD BE MUCH APPRECIATED!!!
If f(x) = (2x^3 − 4)^6, then what is f '(x)?
21x^2(x^3 − 4)^5
21x^8
6(2x^3 − 4)^5
6(2x^3 − 4)^5(6x^2)
Answers
6(2x^3-4)^5(6x^2)
Explanation:
That is the derivative after you differentiate using the Chain Rule.
Please see question below.
What is 112% of 50?
2
Your answer
Please see question below.
Answers
Answer: 56
Step-by-step explanation:
Answer:
112% of 50 is 56
Step-by-step explanation:
100% of 50 is 50.
We have to find 12% of 50, and then add it to 50 to get 112% of 50.
12% of 50 is the same as .12 x 50 which is 6.
50 + 6 = 56
I Hope That This Helps! :)
SOME ONE HELP PLZ CALCULATE THE CIRCUMFERENCE AND AREA OF A CIRCLE
Answers
Answer:
qwertyu
Step-by-step explanation:
wertyuioiuytrewqertyuioiuytrewertyuiouytrewrtyuiuyt
yuiuytrertyuiuytrewrtyutrewertyuytrertyuytre
rtyuytrtyuytrertytrertytretytrertytrerty
rertytrertytrtytrertytrertytrerty
rertrertrertrertytrertyrertr
ertrertrertretyretytr
rertretrrtret
rtrtrtrtr
trertr
trt
t
Which statements are TRUE? Select all that apply.
A. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
B. If 6 pens cost $7.74, then 7 pens cost $9.03.
C. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
D. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
E. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answers
Answer:
A, B, D are true
Step-by-step explanation:
A) Speed = Distance travelled ÷ time taken
= 112 ÷ 1.75
= 64 miles per hour
True
B) Cost of 6 pens = $7.74
Cost of 1 pen = 7.74 ÷ 6 = $ 1.29
Cost of 7 pens = 1.29 * 7 = $ 9.03
TRUE
C) Speed = 57 miles per hour
4 hour 10 minutes = 250 minutes
Distance traveled in an hour = 57
Distance traveled in 250 minutes = (57* 250) ÷ 60 = 237.50 miles
FALSE
D) Cost of 17 cans = $ 38.59
Cost of 1 can = 38.59 ÷ 17 = $2.27
Cost of 3 cans = 2.27 * 3 = $ 6.81
TRUE
e) Cost of two dozen eggs = $ 8.40
Cost of an egg = 8.40 ÷ 24 = $ 0.35
FALSE
Determine whether the following triangles are congruent. If they are congruent, give a congruency statement.
Answers
Answer:
Congruent, ASA Congruency Theorem
Step-by-step explanation:
HGI and KJI are vertical angles, therefore equalAngle H and K are congruentGJ bisects HK at Point I, therefore segments HI and KI are congruentPLEASE HELP!! I’L MARK AS BRAINLIEST!!
The flow of water out of a bathtub would best be described as which type of data?
A. Discrete
B. Continuous
C. Linear
Answers
Hope this helps!
Which statements are true of all squares? Select three options.
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals are congruent to the sides of the square.
The diagonals are twice the length of one side of the square.
Answers
Answer:
The diagonals are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The statements that are true of squares include:
The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.What's a square?It should be noted that a square simply means a shape that has four sides equal. The angles are also 360° since they're 90° each.
In squares, the diagonals are perpendicular and the diagonals are congruent to each other.
Learn more about square on:
https://brainly.com/question/12831058