What type of line is PQ?

A. angle bisector
B. altitude
C. median
D. side bisector

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.

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

Answer:

1,2,3,4

Step-by-step explanation:

I'm not sure, but i think it is

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

=======================================================

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:

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

Step-by-step explanation:

the equation is

3n-1 = 5n-7

2n= 6

n= 3

Expression given:-

Substaract 7 from sum of 9 and 8

Convert it to algebraic term

[tex]\\ \sf\longmapsto (9+8)-7[/tex]

[tex]\\ \sf\longmapsto 17-7[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Step-by-step explanation:

Answer:f(x)=-5x^(2)-3x+9 this is the standard form

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

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 8 * 3 = 24 cm^2

b) 5.2 * 7.7 = 40.04 cm^2

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

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:

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

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.

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.

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.

It is a four sided polygon having four angles and four corners.

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.

Learn more about cyclic quadrilateral theorem at https://brainly.com/question/27420229

#SPJ2

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]

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.

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.

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

Answer: B) ^6√2

Both expressions equal 1.22

Step-by-step explanation:

Answer:

$12,020(.95) = $11,419

Step-by-step explanation:

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]

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!

x=119

hope it doesn't help you!!

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

—————— (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

To work out z:

Angles in a triangle add to 180. You know x is 66, so

66 + 90 (right angle) = 156

180 - 156 = 24