7.
NOT TO
SCALE
8.
Р
С
B
In the diagram. PQ is parallel to BC.
APB and AQC are straight lines.
PQ = 8 cm, BC = 10 cm and AB = 9 cm.
Calculate PB
Answers
Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
[tex] \frac{AB}{AP} = \frac{BC}{PQ} [/tex]
Plug in the values
[tex] \frac{9}{AP} = \frac{10}{8} [/tex]
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
Related Questions
what is the answer?
Answers
Answer:
HL
Step-by-step explanation:
The hypotenuse and the "leg" are congruent...along with the 90 degree angle.
"The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent." - Calcworkshop
Choose the property of real number that justifies the equation. Last time I asked this the picture was cut out! Please answer quick I’m timed!
Answers
Answer:
I am thinking it is distributive property
6 + 18r = 20r - 18 - 4r
Answers
Answer:
r = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 + 18r = 20r - 18 - 4r
Step 2: Solve for r
Combine like terms: 18r + 6 = 16r - 18Subtract 16r on both sides: 2r + 6 = -18Isolate r term: 2r = -24Isolate r: r = -126+18r=18r-18
-6. -6
18r=18r-24
-18r. -18r
R=-24
Suppose Metro by T-Mobile wants to offer a simple extended warranty plan. If your phone is damaged, they will repair it for up to $50. If you lose or destroy your phone, they will give you a $200 voucher towards a new phone. The company believes that 5% of customers will need the replacement voucher and 10% will request a repair. What is the standard deviation?
Answers
Answer:
45
Step-by-step explanation:
Given that :
Voucher awarded (x) :
Repair = $50
Lose or destroy = $200
P(x):
Replacement voucher = 5%
Repair voucher = 10%
X ______ 50 ______ 200
P(x) ____ 0.1 _______ 0.05
Expected variance Var(X) :
ΣX²p(x) - E(x) ;
E(x) = Σx*p(x) = (50*0.1) + (200*0.05) = 15
ΣX²p(x) = Σ[(50^2 * 0. 1) + (200^2 * 0.05)] = 250 + 2000 = 2250
Var(X) = 2250 - 15^2 = 2025
Standard deviation = √Var(x)
Standard deviation = √2025
Standard deviation = $45
What is the Slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
●••□■♤□●|□¤○|€♡■●~3}£₩9¥¥♡♡■{{6899
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Answers
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
Answers
Given:
The relations in the options.
To find:
The relation which is a function.
Solution:
Consider the options are :
(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}
(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}
(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}
(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}
A relation is a function if there exist a unique y-value for each x-value.
In option (a), y=7 and y=1 at x=2. So, it is not a function.
In option (b), y=-3 and y=3 at x=9. So, it is not a function.
In option (c), y=0 and y=1 at x=3. So, it is not a function.
In option (d), there are unique y-value for each x-value. So, it is a function.
Therefore, the correct option is (d).
Pls Help plsssssssss
Answers
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answers
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
Put these in order starting from the smallest
62
34
25
59
Answers
Answer:
25 34 59 62
Step-by-step explanation:
easy shi thanks
34
59
62
Hope this helped
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly
Answers
for every one mom duck there’s 7 babies
so therefore if you had 5 momma ducks you would have 35 ducklings
hope this helps!
Answer:
There would be 35 ducklings
Step-by-step explanation:
If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.
7 x 5 = 35
what is the simplest form of this ratio?
100:40:20
Answers
Answer:
52
Step-by-step explanation:
Find the value of 3w-1 given that - 2w+8= 6.
Simplify your answer as much as possible.
Answers
Answer:
-4
Step-by-step explanation:
Given 2w + 8 = 6, find w
2w = -2w = -1found w = -1, sub it into 3w - 1
3w - 1 = 3(-1) -1-3 - 1= -4Find the value of Angle A and B!!! Will mark brainliest
Answers
Answer:
A=73
B=107
Step-by-step explanation:
since the angles are across from eachother they would be the same, the total angle of all 4 added together would be 360, and 73+107 would be 180, so 180+180 is equal to 360
Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?
Answers
jesus do be gettin buff doe
Question 2 of 10
Is ABC - ALMN? If so, name which similarity postulate or theorem applies.
B
75°
75
50"
А
50"
C
N
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answers
A
Step-by-step explanation:
two of the triangles' corresponding angles are the same even if the side lebgths are not, making these two similar
By AA similarity triangle ABC and triangle LMN are similar. Therefore, option A is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
In the given triangle ABC, ∠A=50° and ∠B=75°.
In the given triangle LMN, ∠L=50° and ∠M=75°
From the given triangles,
∠A=∠L=50°
∠B=∠M=75°
By AA similarity triangle ABC and triangle LMN are similar.
Therefore, option A is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ5
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
Answers
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
Answers
Please help me answer this question thank you !!
Answers
Answer:
c
Step-by-step explanation:
What is the root of the polynomial equation *(x-2)(x+3) - 18? Use a graphing calculator and a system of
equations.
O-3
ОО
O2
O 3
Answers
Answer:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Step-by-step explanation:
Start by using your first factor, 1. Substitute "1" for each "x" in the equation: (1)3 - 4(1)2 - 7(1) + 10 = 0.
This gives you: 1 - 4 - 7 + 10 = 0.
Because 0 = 0 is a true statement, you know that x = 1 is a solution.
Write a multiplication fact that goes with this division fact.
33 ÷ 11 = 3
Answers
Answer: 3 x 11 = 33
Step-by-step explanation: Hope it helped!
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answers
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Answers
the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.
Answers
Answer:
Step-by-step explanation:r=12cm,h=18cm,v=?
Vol. Of a cylinder=Πr²h
V= Π×12²×18
V= Π×144×18
V=2592Πcm³
Answer the link at the bottom plz
Answers
Answer:
2/3
Step-by-step explanation:
24students - 8 boys = 16 girls
16/24
2/3
Answer:
[tex]\frac{16}{24}=\frac{2}{3}[/tex]
also
[tex]\frac{8}{24} =\frac{1}{3}[/tex]
Step-by-step explanation:
plz help...........
Answers
Answer:
1 is one of them
Step-by-step explanation:
Which expressions are equivalent to (5g+3h+4)•2?
Answers
Answer:
nc
Step-by-step explanation:
nc
Which equation could be used to find the value of x in the triangle below? (pls help)
Answers
Answer:
B.
Step-by-step explanation:
All of it needs to add up to 180
So you have
2x + 4x+10 + 6x-10 = 180
Combine like terms
12x=180
What is the measure of <6
<6=
Answers
Answer:
20/20
Step-by-step explanation:
I need help finding a, b, and c. Thank you!
Answers
a b c
Answer:
a = 1
b = 4
c = -3