APB is parallel to CTRD. PQRT is a quadrilateral. work out the size of the angle marked x you must show your working
Answers
Answer: X would be 84 degrees.
Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is 90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.
Related Questions
An arrow is shot vertically upward from a platform 19ft high at a rate of 163ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)
Answers
Answer: 10.3 s
Step-by-step explanation:
Given
The height of the arrow is given by [tex]h=-16t^2+v_ot+h_o[/tex]
At [tex]t=0, h=19\ ft[/tex]and [tex]v_o=163\ ft/s[/tex]
When arrow hits ground, h becomes 0 i.e.
[tex]\Rightarrow 0=-16t^2+163t+19\\\Rightarrow 16t^2-163t-19=0\\\\\Rightarrow t=\dfrac{163\pm \sqrt{(-163)^2+4(16)(19)}}{2(16)}\\\\\Rightarrow t=-0.115,10.30\ s[/tex]
Neglecting the negative value of t
So, the arrow hits the ground after 10.30 s
what is energy efficiency
Answers
Answer:
The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.
Help help help help
Answers
What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)
Answers
Answer:
(0,2)
Step-by-step explanation:
the bracket cancel
help pls i need this asap
Answers
Answer:
I got 45 degrees
Step-by-step explanation:
knowing that where T is is 90 degrees and a triangle always= 180 degrees I just split 90 in half and got 45. I could be wrong but I hope this helps :)
Question 3 of 10
of the way from
What is the location of the point on the number line that is
A = 5 to B = 23?
O
A. 8
B. 9
C. 10
D. 7
Answers
Answer:
B. 9
Step-by-step explanation:
solve it and u will find out
If f(x) is discontinuous, determine the reason.
f of x equals the quantity x squared plus 4 for x less than or equal to 1 and equals x plus 4 for x greater than 1 (5 points)
A. f(x) is continuous for all real numbers
B. The limit as x approaches 1 does not exist
C. f(1) does not equal the limit as x approaches 1
D. f(1) is not defined
Answers
Answer: Choice A
f(x) is continuous for all real numbers
=============================================================
Explanation:
The piecewise function given to us basically breaks down into these two cases:
If x = 1 or smaller, then f(x) = x^2+4If x > 1, then f(x) = x+4So if we plug in x = 1, then we go for the top line and say
f(x) = x^2+4
f(1) = 1^2+4
f(1) = 5
Showing that f(1) is indeed defined. We rule out choice D because of this.
----------------
Let's see what happens when we plug x = 1 into the bottom equation
f(x) = x+4
f(1) = 1+4
f(1) = 5
Both pieces produce the same output. This tells us that as x approaches 1 from either the left or right sides, the y value approaches y = 5. Therefore, the limit at x = 1 exists. We rule out choice B because of this.
We rule out choice C as well because f(1) does equal the limiting value mentioned earlier.
----------------
The answer is choice A because no matter what x value we plug in, it's not only defined but also it's connected to the rest of the function curve as shown below.
Answer: A; f(x) is continuous for all real numbers
Seventh Grade Students
Instrument # of Students
Guitar 12
Bass 10
Drums 9
Keyboard 12
Eighth Grade Students
Instrument # of Students
Guitar 5
Bass 6
Drums 15
Keyboard 5
Based on these results, express the probability that a seventh grader chosen at random will play the drums as a fraction in simplest form.
Answers
Answer:
3/11Step-by-step explanation:
FORMULA= P(A)=
NUMBER OF FAVORABLE OUTCOMES
-------------------------------------------------------------
NUMBER OF POSSIBLE OUTCOMES
GIVEN: 12 Guitars, 10 Bass, 9 Drums, 12 Keyboards
WANT: The probality a seventh grader chosen at randome will play drums
add all the instruments
12+10+9+12=33
there are 9 drums
FOLLOW THE FORMULA
9 3
---- = ---- SIMPLIFIES FORM
33 11
Which expression is a trinomial of degree 1?
Answers
Answer:
A
Step-by-step explanation:
Answer:
"C"
trinomial means three parts, degree 1 means highest exponent is 1
x & y are of degree 1 and there are three parts
Step-by-step explanation:
Complete the proof that
Answers
Answer:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ΔSCW ≅ ΔTUW [tex]{}[/tex] Given
[tex]\overline {SV}[/tex] ≅ [tex]\overline {TU}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {SW}[/tex] ≅ [tex]\overline {TW}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline {WV}[/tex] ≅ [tex]\overline {UW}[/tex] [tex]{}[/tex] CPCTC
∠SVW ≅ ∠TUW [tex]{}[/tex] CPCTC
SU = SW + UV [tex]{}[/tex] Additive property of Length
TU = TW + VW [tex]{}[/tex] Additive property of Length
SU = TW + VW [tex]{}[/tex] Substitution
SU = TV [tex]{}[/tex] [tex]{}[/tex] Transitive property
ΔSTV ≅ ΔTSU [tex]{}[/tex] SAS
∠TSV ≅ ∠STU [tex]{}[/tex] CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ΔSCW ≅ ΔTUW [tex]{}[/tex] Given
[tex]\overline {SV}[/tex] ≅ [tex]\overline {TU}[/tex] [tex]{}[/tex] Congruent Parts of Congruent Triangles are Congruent
[tex]\overline {SW}[/tex] ≅ [tex]\overline {TW}[/tex] [tex]{}[/tex] Congruent Parts of Congruent Triangles are Congruent
[tex]\overline {UV}[/tex] ≅ [tex]\overline {VW}[/tex] [tex]{}[/tex] Congruent Parts of Congruent Triangles are Congruent
∠SVW ≅ ∠TUW [tex]{}[/tex]Congruent Parts of Congruent Triangles are Congruent
SU = SW + UV [tex]{}[/tex] Additive property of Length
TU = TW + VW [tex]{}[/tex] Additive property of Length
SU = TW + VW [tex]{}[/tex] Substitution
SU = TV [tex]{}[/tex] Transitive property
ΔSTV ≅ ΔTSU [tex]{}[/tex] Side-Angle-Side rule of congruency
∠TSV ≅ ∠STU [tex]{}[/tex] Congruent Parts of Congruent Triangles are Congruent
3
If x=
)
X Х
find the value of x-2
3
2.
Answers
Step-by-step explanation:
Answer
Open in answr app
Correct option is
B
±2
x=3+22 x1=3+221×3−223−22
=3−22
(x−21)2=x+x1−2
=3+22+3−22−2=4
So, x−x1=4=±2 Ans
HELP PLEASE!!!!!
A car owner decides to upgrade from tires with a diameter of 24.3 in to tires with a diameter of 26.1 in. If she doesn't update the onboard
computer, how fast will she actually be traveling when the speedometer reads 65 mph?
Although we want to solve for the linear speed of the upgraded tires, we do not have enough information for that. To fill up the formula v = rw, we only have the upgraded tires
r. but we do not know yet their w. However, since the speedometer counts rotations per hour and uses that to get the v of older tires, we can use that information to find the w
of the upgraded tires. Thus, let us solve first for w using the radius of the old tires and the reading of the speedometer.
Note: Do not forget that you are given the diameter and must still use that to get the radius. Also, do not forget that the diameter is given in inches, and you must convert that to miles, in order to be able to
cancel the time units. (1 mi = 63, 360 in)
Answers
Answer:
8yr7xy9c8ze6X9yc9y8d58f99ff68g
The probability of the Windermere Monster existing is 0.1.
What is the probability of it not existing? Can anyone answer it please
Answers
because 1 - 0.1 = 0.9
Mark 4/9 and -7/9 on a number line.
Answers
Answer:
Step-by-step explanation:
4/9 on the number line would be 0.44.
-7/9 on the number line would be -0.77
9. A skydiver jumps from a plane at
12,500 ft. She free falls for 30 sec. and
drops to 4,608 ft. After the parachute
is pulled, the skydiver descends at a
rate of 960 ft./min. What is the total
time of the jump?
(A) 4.8 min
B 5.1 min
5.3 min
0 16 min
Answers
Step-by-step explanation:
write the one digit in the square of each of the following numbers
a.13
5(4)-4/2 ??
Some know how to respond
Answers
Answer:
19 1/2??? Read explanation
Step-by-step explanation:
I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)
Answer:
18
20 -2 = 18
Step-by-step explanation:
A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?
Answers
Answer:
[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cone (h) = 30 cm
Radius of the cone (r) = 20 cm
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]
6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
You also take two 15-minute unpaid coffee breaks during the day. Your work day ends
at 5:00 pm. How many hours are you paid?
a) Express your answer in hours and minutes.
b) Express your answer as a decimal in hours only.
Answers
Answer:
7 hours 15 minutes
7.25 hours
Step-by-step explanation:
Break from 11:45 am to 12:30 pm = 45 minutes
Two 15-minute unpaid coffee breaks during the day = 30 minutes
Total break hours = 45 minutes + 30 minutes
= 1 hour 15 minutes
Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes
How many hours are you paid?
Total hours paid = Total work day hours - Total unpaid break hours
= 8 hours 30 minutes - 1 hour 15 minutes
= 7 hours 15 minutes
b) Express your answer as a decimal in hours only
7 hours 15 minutes as a decimal
15 minutes to hour = 60 minutes/15 minutes
= 1/4
= 0.25 hours
7 hours 15 minutes as a decimal = 7 hours + 0.25 hours
= 7.25 hours
find the surface area of this figure.
Answers
Answer:
148 ft2
Step-by-step explanation:
2×(6×4 + 6×5 + 4×5) = 148 ft2
Which of the following must be true to prove triangle ABC = ~ triangle DEF by the AAS theorem? I need help to understand this, can someone show me step by step on how to do this?
Answers
find the value of k if the line 2x-y+k=0 may touch the circle x^2 + y^2=5
Answers
Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4
2. Out of 500 students appearing in an examination, the number of students who passed in mathematics only is twice the number of students who passed in science only. If 120 students passed in both subjects and 140 students failed in both subjects, then Find the ratio of the students who passed in mathematics to the students who passed in science.
Answers
Answer:
60 to 60
Step-by-step explanation:
It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60
HELPPP ASAPPP PLAESE HELPP
Answers
Answer:
first question answer is step 2 and second step is answer step 3, last one is step is answer step 1
Please help ASAP
Will give Brainliest
Want explanation
Answers
Answer:
1.73 or 3+√6/√3+√2
Step-by-step explanation:
1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45
2. Simplify the Denominator.
[tex]17 \sqrt{3} - 2 \sqrt{4} \sqrt{4} \sqrt{2} + 3 \sqrt{9} \sqrt{2} - 4 \sqrt{4} \sqrt{4} \sqrt{3} = 17 \sqrt{3} - 8 \sqrt{2} + 9 \sqrt{2} - 16 \sqrt{3} = \sqrt{3} + \sqrt{2} = 3.15[/tex]
3. Divide. 5.45/3.15= 1.73
What am I doing wrong? I've tried every conceivable answer, I thought I was good at this type of math but this program keeps proving me wrong. Please help.
Answers
Answer:
Step-by-step explanation:
Please help ASAP !!!
Answers
Answer:
C
Step-by-step explanation:
the domain is for which values of x is that function defined (is that a valid function).
the range is what values that function can produce based on all the different x-values as input.
so, checking option A
that means all x values are negative.
that means all values inside the square root are negative.
the resulting function values are a discussion class of numbers and not part of the interval of (0, infinity).
so, it cannot be A.
checking option B
the domain range includes the value 6 for x.
but that would make this function for x=6 an invalid expression of 1/0
so, it cannot be B.
checking option C
the value range for x (domain) is x>6 (and excluding x=6).
and the result range is all positive numbers including 0.
there is no violation of any function principle.
the answer is C.
checking option D
similar to C, but the result range is defined as all numbers, negative and positive.
but for the domain the function can never produce negative numbers.
so, it is not D.
A city has a 20% chance of having a flood in any given decade. The table shows the results of a simulation using random numbers to find the experimental probability that there will be a flood in the city in at least 1 of the next 5 decades. In the table below, 1 represents a decade with a flood. The numbers 2 to 5 represents a decade without a flood.
Answers
Answer:
4/10=40%
Step-by-step explanation:
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
Half gallon = __________fl oz.
Answers
Question 9 of 10
Which polynomial represents the difference below?
(8x2 +9) - (3x2 + 2x + 5)
Answers
Step-by-step explanation:
= (8x² + 9) - (3x² + 2x + 5)
= 8x² + 9 - 3x² - 2x - 5
= 5x² - 2x + 4
find the value of √(6-3√5)
Answers
Answer:
There is no answer
Step-by-step explanation:
because 3√5=6,7082039232 > 6
So 6-3√5 < 0
But √x always >0
So there is no answer
