ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangle PDA. PLEASE FIND THE ANSWER QUICKLY I NEED IT RIGHT NOW
Answers
Answer:
The answer is below
Step-by-step explanation:
A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.
Given parallelogram ABCD:
AB = CD = 18 cm; BC = AD = 8 cm
∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).
Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:
[tex]\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm[/tex]
Perimeter of CPQ = CP + CQ + PQ
15 = 6 + 8/3 + PQ
PQ = 15 - (6 + 8/3)
PQ = 6.33
∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).
Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem
[tex]\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19[/tex]
[tex]\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8[/tex]
Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm
PA = AQ + PQ = 19 + 6.33 = 25.33
PD = CD + DP = 18 + 6 = 24
Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm
Related Questions
Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.
Answers
Answer: I think that the sandwich is $4.25 (I'm not sure)
Answer:
s=4.25
Step-by-step explanation:
look at the screenshot for the steps! :)
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Answers
Answer:
276 meters in the first 2 hours
Step-by-step explanation:
Given that,
Professional climbers climb 828 meters in 6 hours.
Let us assume we need to find how far did they climb in the first 2 hours.
6 hours = 828 m
⇒ 1 hour = 138 m
So, in 2 hours,
2 hours = 138 × 2 m
= 276 m
So, the climber climb 276 meters in the first 2 hours
What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)
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7th grade and 30 points
i have to show work
Answers
Answer:
Step-by-step explanation:
amount of discount = $10
percentage discount = $10/$39.99 ≅ 0.25 = 25%
amount of sales tax = $1.95
sales tax rate = $1.95/$29.99 ≅ 0.065 = 6.5%
cost of jeans × 1.60 = $39.99
cost of jeans = $39.99/1.60 ≅ $24.99
discounted selling price = $29.99
markup = $29.99/$24.99 ≅ 1.20 = 20%
EXPLAIN why the solution to the absolute value inequality | 4x - 9 | ≥- 12 is all real numbers.
Answers
Answer:
no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12
Answer: Since the absolute value of any number is always greater than or equal to zero, then the given inequality holds for every real number.
Explanation: It doesn't matter which number you substitute for x, as the absolute value will convert the number into a positive one, which will always be greater or equal to 0. Hence, every real number can be a possible answer.
Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.
Answers
Answer:
Zero solutions; there are no variables and thus there are no solutions
Step-by-step explanation:
We start out with the equation 9 (x - 3) + 15 = 9x - 11
Which simplifies to 9x - 27 + 15 = 9x - 11
The 9x terms cancel each other out, and we're left with 15 - 27 = -11
And we end up with -12 = -11, which is not true.
This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.
Answer:
No solution
Step-by-step explanation:
9(x-3)+15= 9x-11
9x-27+15=9x-11
-15 on both sides
9x-27=9x-26
add 26 on both sides
9x -1=9x
add 1 on both sides
9x=9x+1
divide 9 on both sides
x=x+1/9
No solution
Make a conjecture of what the x-intercepts of the function
f(x) = (2x - 1)(x + 3) will be.
Answers
Answer:
x=-3,x1/2
Step-by-step explanation:
f(x)=(2x-1)(x+3)
TI find x intercept/zero substitute
f(x)=0
0=(2x-1)x(x+3)
swap the sides of the equation
(2x-1)x(x+3)=0
when the product of factors equals 0,at least one factor is zero
2x-1=0
x+3=0
solve the equation for x
x=1/2
x+3=0
solve the equation of x
x=-3
The equation has two solution
x=-3
x=1/2
point G is rotated 90°. the coordinate of the pre-image G was (7,-5), and it’s image G’ is at the coordinate (5,7). What is the direction of the rotation
Answers
Answer:
The Direction of the rotation is counterclockwise around the origin.
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.
Step-by-step explanation:
One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?
Answers
Answer:
fesgqwa
Step-by-step explanation:
Answer:
254 cm
Step-by-step explanation:
multiply the 100 by the 2.54
Whats the answer to this i can't figure it out can someone help.
Answers
Answer:
D!
Step-by-step explanation:
TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!
Amanda bought tickets for a concert for $218. Jamie bought tickets to the same concert but paid 14% less than Amanda. What were the price of Jamie's tickets?
Answers
Answer:
Jamie's tickets = $187.48
Step-by-step explanation:
The amount for which Amanda bought tickets = $218
Jamie bought tickets to the same concert but paid 14% less than Amanda.
Jamie's tickets = [tex]218-14\%\ of\ 218[/tex]
We can solve it as follows :
[tex]218-14\%\ of\ 218=218-\dfrac{14}{100}\times 218\\\\=218-30.52\\\\=\$187.48[/tex]
So, the price of Jamie's tickets is $187.48.
what is the answer for this question ?:A set of multiples of 5 less than 30
Answers
Answer:
A = {5,10,15,20,25}
Step-by-step explanation:
A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?
Answers
Answer:
4 vans, 6 cars
Step-by-step explanation:
On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m
Answers
Answer:
1.6cm
Step-by-step explanation:
1cm=4m
=6.5m
6.5÷4=1.625 round it off to the nearest tenths=1.6
cómo se calcula las medidas de un rectángulo solo sabiendo cuánto mide el area
Answers
I’ll give the Brainliest to who answers this question with a reasonable explanation.
The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?
A) y = 2x + 1
B) y = 3x + 1
C) y = 2x
D) y = 3x
Thank you.
Answers
Answer:
D y=2x
Step-by-step explanation:
Using slope formula change in y over change in x
[tex] \frac{2}{1} [/tex]
the slope is 2 and when we plug the x value in it gives us our corresponding y value so the answer is D
ASSESSMENT
Solve for the following problems.
1. 30 is 15% of what number?
2. What is 78% of 100?
3. 8 is what percent of 16?
4. What percent of 35 is 7?
5. 22% of what number is 66?
6. 24% of 300 is what number?
7.12 is 40% of what number?
8. What is 90% of 30?
9.7 is what percent of 14?
10. What percent of 45 is 9?
Answers
Answer:
1. 200
2. 78
3. 50%
4. 20%
5. 14.52
6. 72
7. 30
8. 27
9. 50%
10. 20%
I hope this helps:D
Which one is the correct answer please please.
Answers
Answer:
option 1
plz mark as brainiest
Step-by-step explanation:
Answer:
1/2 (option 1)
Step-by-step explanation:
the equation is in y=mx+b form (slope-intercept form)
y: y-axis
m: slope
x: variable
b: y-intercept
Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system
Answers
Answer:
consistent
Step-by-step explanation:
A total of 915 people attended a music festival at the park of these people 520 arrived before noon using estimation how many people arrived in the afternoon to the nearest hundred people?
Answers
Answer:
Step-by-step explanation:
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Will GIVE BRAINLIEST
A ganza is a percussion instrument used in samba music.
a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.
Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?
The weight of the larger ganza is about
pounds.
Answers
Answer:
1036.2 sq. cm
Step-by-step explanation:
The surface area of the smaller ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10
surface area = 76.93+ 219.8
surface area = 296.73 sq. cm
The surface area of the larger ganza = 2πr2 + 2πrh
surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5
surface area = 189.97+846.23
surface area = 1036.2 sq. cm
a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]
The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]
b. The weight of the larger ganza is [tex]3.84[/tex] pounds.
Surface area :From given figure,
Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]
height of smaller ganza, [tex]h_{1}=10cm[/tex]
a. The surface area of the smaller ganza is,
[tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]
[tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]
The surface area of the larger ganza
[tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]
[tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]
b. Since, the surface area is proportional to the weight.
and The weight of the smaller ganza is 1.1 pounds.
[tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]
Learn more about the surface area here:
https://brainly.com/question/16997207
The following information below shows the number of employees working 4 days in an office in a week. Draw a pie chart to display the information. Monday 180 Tuesday 140 Wednesday 120 Thursday 160
Answers
Tuesday 23.3%
Wednesday 20%
Thursday 26.7%
Answer:
989
Step-by-step explanation:
plz help fast i have to find the surface area of a 3d shape
Answers
label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible
Step-by-step explanation:
Suppose a city with population 300000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 17years.
Answers
I need help please help me
Answers
Answer:
8×3x - 8×y
Step-by-step explanation:
24x-8y this is the answer
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answers
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
Write an inequality to represent a number is at most two".
Answers
Answer:
Step-by-step explanation:
X<= 2
Which is x is less than or equal to 2.
Answer:
[tex]n\leq 2[/tex]
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answers
B=8+8=16
H=8
16*8=128in
Find C. Leave your answer in simplified radical form.
Answers
9514 1404 393
Answer:
7√2
Step-by-step explanation:
The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...
c = 7×√2
c = 7√2
_____
If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.
7/c = sin(45°)
c = 7/sin(45°) = 7/(1/√2) = 7√2
Or ...
c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*
c = √98 = 7√2
__
* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 5, 10, 15. The second column is labeled y with entries 15, 10, 5, 0.
What is the correlation coefficient for the data shown in the table?
1
-1
5
10
Answers
Answer:
10
Step-by-step explanation: