Answer:
Step-by-step explanation:
PQ is the height of the triangle, which is also known as the altitude.
In given triangle PRS, the line PQ is an altitude. So, correct option is B.
An altitude is a line segment drawn from a vertex of a triangle perpendicular to the opposite side. In this case, point Q lies on side RS and forms a right angle with point P. Therefore, line PQ is drawn from vertex P to side RS at a right angle, making it an altitude.
Altitudes have significant properties in triangles. They intersect at a point called the orthocenter, which is a crucial point in various geometric constructions and proofs. Additionally, altitudes help in determining the lengths of sides and can be used to find areas of triangles.
In summary, the line PQ in triangle PRS is an altitude as it is drawn from the vertex P perpendicular to the side RS. This line plays a fundamental role in triangle geometry and can aid in various calculations and constructions.
So, correct option is B.
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I need help!! h(x)=x^2-5 Find h(-7) simplify your answer.
hello please help me !
Answer:
The answer is D.
Step-by-step explanation:
D is the only choice that properly connects each part of the equation, such as 6*50-6 -> 300-6.
Calculate the trade discount amount of goods with a list price of $29,000 less trade discounts of 40 1/2 / 20 1/4 / 5
Answer: $15927.183
Step-by-step explanation:
Price of good= $29,000
Trade discount = 40½ 20¼/5
The first discount will be:
= 40½ × $29000
= $11745
Then, the price after the first discount will be:
= $29000 - $11475
= $17255
Then, the second discount will be:
= $17255 × 20¼%
= $3494.14
Then, the price after the second discount will be:
= $17255 - $3494.14
= $13760.86
The third discount will be:
= $13760.86 × 5%
= $688.043
Then, the total discount will be:
= $11745 + $3494.14 + $688.043
= $15927.183
Therefore, the trade discount is $15927.183.
What is the domain of this function?
Answer:
1,2,3,4
Step-by-step explanation:
I'm not sure, but i think it is
Which of the following is in standard form of quadratic? f(x)=-5x^(2)-3x+9 f(x)=-5(x+4)(x-2) f(x)=-5(x-1)^(2)+6 f(x)=2x-8
Step-by-step explanation:
Answer:f(x)=-5x^(2)-3x+9 this is the standard form
Step-by-step explanation: Standard form of quadratic equation is a[tex]x^{2}[/tex]+b[tex]x[/tex]+c.so the first was in standard form.By selling a mobile for Rs.30, 000, Shankar gains 5%. Find the CP of the mobile.
Answer:
Rs. 28,571.4
Step-by-step explanation:
Let
Cost price = x
Profit = 5% of x
= 0.05x
Selling price = Rs.30, 000
Profit = Selling price - cost price
0.05x = 30,000 - x
Collect like terms
0.05x + x = 30,000
1.05x = 30,000
x = 30,000/1.05
x = Rs. 28,571.428571428
Approximately,
Cost price = x = Rs. 28,571.4
Select the correct answer.
Which function Is represented by this graph?
Stephen wants to use the Angle Angle Similairity Theorem to determine if the street between the park and bus stop is parallel to the street between his friend's house and the grocery store. He knows the angle between the bus stop, the park, and his home. Which other angle does he need to know?
Answer:
The angle between his home, his friends house and grocery store
Step-by-step explanation:
The given angle are;
The angle between the bus stop, the park and his home
The Angle Angle Similarity Theorem can be used to determine if the streets are parallel by verifying if there are congruent corresponding angles on the streets between his friends house and the grocery store and the street between the park and the bus stop
Therefore, the angle he needs to know is the angle between his home, his friends house and grocery store which are same side interior angles and they should sum to 180° to give the angle between the road and the other side of his friend's house
Simple angle please help :)
y = 42°
Because the angle at the side of right angle will also be right angle or 90°
Sum of all angles of a triangle = 180°.
So, 48° + 90° + y = 180°
=> 138° + y = 180°
=> y = 180° - 138°
=> y = 42°
Angles on a straight line are 180. Therefore, 180 - 90 (right angle) = 90
Angles in a triange add to 180.
90 + 48 = 138
180 - 138 = 42
y = 42—————— (not sure if you need this, but:)
To work out x, you would do:
Angles on a straight line add to 180.
180 - 48 = 132
132/2 = 66
x = 66To work out z:
Angles in a triangle add to 180. You know x is 66, so
66 + 90 (right angle) = 156
180 - 156 = 24
z = 24Given m
II
n, find the value of x.
m
n
20
119°
Please help
x=119
hope it doesn't help you!!
Given that SQ is the perpendicular bisector of PR , set up the equation needed to solve for n and find the value of of n
** Fill in the blanks for full credit**
Step-by-step explanation:
the equation is
3n-1 = 5n-7
2n= 6
n= 3
Please answer these !!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
a) 8 * 3 = 24 cm^2
b) 5.2 * 7.7 = 40.04 cm^2
Which expression is equivalent to ____?
Answer: B) ^6√2
Both expressions equal 1.22
Step-by-step explanation:
Which term, when added to the given polynomial, will change the end behavior of the graph?
y = 14x8 – 6x5 – 2x4 – 10
a. –6x9
b. –5x7
c. 5x8
d. 6x10
Answer:
A) -6x9 will change the end behavior of the graph.
OAmalOHopeO
a. –6x9 when added to the given polynomial, will change the end behavior of the graph.
hope it helps :)
please mark brainliest!
Please answer question C.
First you can subtract y from 180 (number of degrees in a straight line) to find the value of x and z combined; 180-80=100. This means x+z=100.
Since you know that x:z is 2:3, and they add up to 100, you can find x and z. Add 2+3 (the ratios) to get 5. There are 5 parts in 100. The value of each part is 20 (divide 100/5). The value of x is 2 parts, and the value of z is 3 parts. 2 parts of 20 is 40 (multiply 2*20). 3 parts of 30 is 60 (multiply 3*20).
Now you know that x is 40 and y is 60.
You can also check your answer.
40+80+60 equals 180.
Answer:
[tex]<x = 40[/tex]
Step-by-step explanation:
The degree measure of a line is (180) degrees. Therefore the sum of (<x), (<y), and (<z) is (180) degrees. As per the given information (<y = 80). Moreover, it is given that the angles (x) and (z) are in the following ratio: ( (<x) : (<z) = (2) : (3) ). Call (n) the factor by which the ratio was simplified. Using this though process, one can state the following: ( (<x) = 2n) and ( (<z) = 3n). Using all of this information, form an equation, solve for (n), finally substitute and solve for (<x).
[tex](<x)+(<y)+(<z)=180[/tex]
Substitute,
[tex]2n+3n+80=180[/tex]
Simplify,
[tex]5n+80=180[/tex]
Inverse operations,
[tex]5n+80=180[/tex]
[tex]5n=100[/tex]
[tex]n=20[/tex]
Substitute to back solve for (<x),
[tex]<x = 2n\\n = 20\\\\<x = 2(20)\\<x = 40[/tex]
the distance between (-4,-5) and (4,2)
Answer:
rida22 this is the third of these you asked for...
do you need help on the steps???
the solution is using the Pythagorean theorem (a^2 + b^2 = c^2)
so distance "A" = x1-x2 which is 4 - (-4) in your problem = 8
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2 + b^2 = c^2[/tex]
"B" = y1-y2 = -5 - 2 = -7
[tex]8^2 + (-7)^2 = c^2[/tex]
64 + 49 = c^2
c^2 = 113
c = [tex]\sqrt{113}[/tex]
Step-by-step explanation:
Samantha is looking over her credit card statements from the past
couple of months. The balance was $12,020 last month, and 5% less this
month. What is the balance on the card this month?
HELP! This is a summer HW problem due today!
Answer:
$12,020(.95) = $11,419
Step-by-step explanation:
factor tree
67344 using prime numbers
Answer:
[tex]2^4*3*23*61[/tex]
Step-by-step explanation:
[tex]\begin{array}{c|c}67344&2\\33672&2\\16836&2\\8418&2\\4209&3\\1403&23\\61&61\\1&\\\end{array}[/tex]
Javier jogs 3/4 of a mile in 8 1/2 minutes how much minutes will it take him to jog 1 mile?
Answer:
11 minutes and 20 seconds. or 11.33
Step-by-step explanation:
Reciprocal of .75 is 1.33. Multiply 1.33 times 8.5 minutes to find how long it would take to run one mile.
or
Divide 8.5 minutes by 3 to find how long it takes to run 1/4 of a mile, and multiply that time by 4 to see how long it takes to run one mile.
BOX PLOTS! PLS HELP ME IM BEGGING U
Answer:
D
Step-by-step explanation:
Dave is a builder. Yesterday he made mortar mix. He used 24kg of sand and 5kg of cement. Today he needs to make the same type of mortar mix, but he will use 36kg of sand. How much cement does he need?
Answer:
7.5 kg
Step-by-step explanation:
Ratio of sand to cement = 24kg : 5kg
Today he needs to make the same type of mortar mix, but he will use 36kg of sand.
Let
x = quantity of cement used
Ratio of sand to cement = 36 kg : x kg
Equate both ratios
24 kg : 5 kg = 36 kg : x kg
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5
x = quantity of cement used = 7.5 kg
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. By how much % more is the marked price above the cost price?
Give full explanation
Answer:
Let the MP of 1 article = Rs 1
MP of 15 article = Rs 15
SP of (15+1) articles = 15 x 96/100
= Rs 14.40
CP of 16 article = 14.40/135 x 100
= Rs 32/3
CP of 1 article = 32/3x16
= Rs 2/3
Required % = 1/3 x 3/2 x 100
= 50
What is the equivalent expression to 7/5y.
Answer:
7 * 1/5y
Step-by-step explanation:
division is the same as multiplying it by the quantity under 1 so 7 times 1/5y is the equivalent expression
subtract 7 from the sum of 9 and 8
Expression given:-
Substaract 7 from sum of 9 and 8
Convert it to algebraic term
[tex]\\ \sf\longmapsto (9+8)-7[/tex]
First solve the bracket[tex]\\ \sf\longmapsto 17-7[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
What is the length of QS?
=======================================================
Work Shown:
x = length of PQ
3x-20 = length of QS, since its 20 less than 3 times PQ
The triangles are similar (we can prove this through the AA similarity theorem), so we can set up a proportion like shown below to solve for x.
PT/RS = PQ/QS
6/8 = x/(3x-20)
6(3x-20) = 8x ..... cross multiplying
18x-120 = 8x
18x-8x = 120
10x = 120
x = 120/10
x = 12
So PQ is 12 units long.
This then means QS = 3x-20 = 3*12-20 = 36-20 = 16
Answer:
Step-by-step explanation:
ABC is a straight line and angle CBD = 116°
a) Work out the value of x.
С
B.
169
b) Pis a point on the minor arc AD.
Explain why angle APD = 116'
+
D
Answer:
a) 128°
b) Opposite angles of a cyclic quadrilateral add up 180°
Step-by-step explanation:
→ Work out ABD
180 - 116 = 64°
→ Use the theorem 'The angle at the centre is twice the angle at the centre'
2 × 64 = 128°
→ Use the cyclic quadrilateral theorem
Opposite angles of a cyclic quadrilateral add up 180°
The value of x is 128 degree when the angle CBD is of 116 degree.
What is a quadrilateral?It is a four sided polygon having four angles and four corners.
How to determine angles in a circle?Firstly we find angle ABD which is 180-116=64 Degrees because the angle at the center is twice the angle on the any point of circle.
So the value of x becomes 2*64=128 degrees.
By using the cyclic quadrilateral theorem opposite angles of a cyclic quadrilateral has a sum of 180 degrees.
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Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 64, x= 3, p= 0.04
Answer:
0.2210
Step-by-step explanation:
If p = 0.04
then 1-p = 1 - 0.04 = 0.96
So we have the probability distribution value
as;
n C r * p^r * (1-p)^(n-r)
Thus;
64 C 3 * p^3 * (1-p)^(64-3)
= 64 C3 * 0.04^3 * 0.96^61
where 64 C 3 is 64 combination 3
= 41,664 * 0.04^3 * 0.96^61
= 0.2210
The base area of a cylinder is 154cme and the
curved surface area is 880cm2, find its total surface area.
Answer:
Since curved surface area of a cyclinder = 154 cm2 [given]
Total surface area of cyclinder = 3 × curved surface area
2πrh + 2πr2 = 3 × 154
154 + 2πr2 = 462
2πr2 = 462 - 154 = 308
r2 = 308 × 7 / 2 × 22 = 49
r = 7 cm
Now, 2πrh = 154
2 × 22 / 7 × 7 × h = 154
h = 154 / 44 = 3.5 cm
∴ Volume of cyclinder = πr2h
= 22 / 7 × 7 × 7 × 3.5 = 539 cm3
I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.
The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB - CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm, EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem: 2*4= 2.5 * ED
ED = (2 * 4)/2.5
3.2 cm.
Answer:
1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
In circle B, given isosceles triangle BTX, BA ⟂ WX, and WX = 10, what is the radius of circle B rounded to the nearest whole number?
Solution :
We observe that :
[tex]$\overline {BA} \perp \overline {WX}$[/tex]
But BA is the perpendicular.
From the center B and WX is a chord.
Therefore, TW = TX (perpendicular from the centre of a circle to a chord bisects it)
Consider Δ BTX,
∠BTX = 90° (BA ⊥ WX)
BT = XT (Δ BTX is isosceles)
Since the angles opposite to equal sides are equal of a triangle arc are equal.
∠BTX = ∠BXT
But in the triangle,
∠TBX + ∠TXB + ∠BTX = 180°
∠TBX + ∠TBX + 90° = 180°
2 ∠TBX = 90°
∠TBX = 45°
From trigonometry, we get
[tex]$\sin \theta =\frac{TX}{BX}$[/tex] ...............(1)
WX = 10
i.e., TX + TW = 10
But TX = TW
2 TX = 10
Tx = 5
BX = radius of circle.
∴ [tex]$\sin 45^\circ = \frac{5}{BX}$[/tex]
[tex]$\frac{1}{\sqrt2} = \frac{5}{BX}$[/tex]
[tex]$BX = 5\sqrt2$[/tex]
[tex]$=5 \times 1.41$[/tex]
= 7
Therefore, the radius of the circle is 7 units.