Which table shows a proportional relationship ?

Answer:

[tex]ST=11.2\:\mathrm{m}[/tex]

Step-by-step explanation:

Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.

In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Plugging in values, we get:

[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].

Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:

[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].

Using this, we can set up the following proportion to solve for [tex]ST[/tex]:

[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].

Answer:

91

Step-by-step explanation:

2p+18=200

subtract 18 on both sides

2p=182

Divide 2 on each side

p=91

Answer:

p=91

Step-by-step explanation:

2p+18=200

p+9=100 (Divide both sides by 2)

p=91 (Subtract 9 from both sides)

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : [/tex]

[tex] \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}[/tex]

⤑ [tex] \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }[/tex]

⤑ [tex] \sf{ \sqrt{100 - 64}} [/tex]

⤑ [tex] \sf{ \sqrt{36}} [/tex]

⤑ [tex] \boxed{ \sf{6\: units}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

4 is the correct answer

Step-by-step explanation:

y=(x+5)(x-3)

so x intercept means the value of x when y is zero

0=(x+5)(x-3)

x+5=0 so x=-5

x-3=0 so x=3

Answer:

Step-by-step explanation:

Answer:

5.3 is the amswer! Hope u pass

Answer:

c

Step-by-step explanation:

I I don't even know why it seems I just chose that because

The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.

The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².

We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.

As per the question, the required distance would be as:

distance = √ (9 – 4)² + (15 – 3)²

distance = √ (5)² + (12)²

distance = √ (25 + 144)

distance = √ 169

distance = 13 units

Learn more about the distance between two points here:

brainly.com/question/15958176

#SPJ6

The domain is the set of all x-coordinates and

the range is the set of all y-coordinates.

So the domain for this relation is {0, 1, 2, 3, 4}

and the range is {0, -1, -4, -9, -16}.

Now, I graph these points below.

For the relation tobe a function, it must pass the vertical line test.

If we can draw a vertical line that passes through only one point

anywhere on the graph, the relation is a function.

Notice that if you were to draw a vertical line,

no line would intersect two points on the same line.

Answer:

Step-by-step explanation:

Given:

LP = 27

LM = NP

MN = 3

16). LP = LM + MN + NP

      27 = LM + 3 + LM

      27 = 3 + 2(LM)

      LM = 12

17). Since, LM = NP

      NP = 12

18). Since, MP = MN + NP

     MP = 3 + 12

     MP = 15

19). NL = LM + MN

     NL = 12 + 3

     NL = 15

Answer:

100(2)^h =6,400

Step-by-step explanation:

For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.

Answer:

17/33

Step-by-step explanation:

100 x = 51.51

100 x − x = 51.51 − 0.51

99 x = 51

divide both sides by 99 to get  x  as a fraction.

x=51/99

=17/33

Answer:

23/45

Step-by-step explanation:

This is directly from Khan academy itself as I got this question too.

(The red marker is the incorrect answer I put in before.)

Answer:

x= - 6

Step-by-step explanation:

[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]

[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

Answer:

11x+21

Step-by-step explanation:

blue square= x squared

green square=3x

pink square=7x

orange square=21

=

11x+21

Answer:

x is 90

Step-by-step explanation:

Answer:

Yes; for each element of the domain, there is only one element of the range.

Step-by-step explanation:

A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).

In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.

The correct answer is given by:

Yes; for each element of the domain, there is only one element of the range.

Answer:im not sure sorry

Step-by-step explanation:

Answer:

i think 108

Step-by-step explanation:

Answer:

x = 3

equation: 6x - 6 = 12

Step-by-step explanation:

6x - 6 = 12

aka:

6x + -6 = 12

+6. +6

6x = 18

/6. /6

x = 3

check: 6(3) - 6 = 12

18 - 6 = 12

12 = 12

Answer:

[tex]\huge\boxed{\sf x \geq -154}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{11} - 6\geq -20[/tex]

Add 6 to both sides

[tex]\displaystyle \frac{x}{11} \geq -20+6\\\\\frac{x}{11} \geq -14[/tex]

Multiply both sides by 11

x ≥ -14 × 11

[tex]\rule[225]{225}{2}[/tex]

Hello !

Answer:

[tex]\Large\boxed{\sf x\ge -154}[/tex]

Step-by-step explanation:

Let's solve the following inequality :

[tex]\sf \frac{x}{11}-6\ge -20[/tex]

Add 6 to both sides :

[tex]\sf \frac{x}{11}-6+6\ge -20+6[/tex]

[tex]\sf \frac{x}{11}\ge -14[/tex]

Multiply both sides by 11 :

[tex]\sf \frac{x}{11}\times 11\ge -14\times 11[/tex]

[tex]\boxed{\sf x\ge -154}[/tex] or [tex]\sf x\in [-154, +\infty)[/tex]

▪ Learn more about inequalities here:

↣https://brainly.com/question/27748939

Have a nice day

Answer: 220:4 or 220 to 4

Step-by-step explanation:

Answer:220:4

Step-by-step explanation:

Step-by-step explanation:

For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)

Hence at Month 7, there will be 100 + 7 = 107 dollars.

Answer:

107 dollors

Step-by-step explanation:

For every month, It increase 7 dollars, So it would be 107 bdollors

Answer:

congruent minor

Step-by-step explanation:

two congruent circle are corresponding minor

Answer:

234

Step-by-step explanation:

Answer:

Either C or D

Step-by-step explanation:

Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.

Answer:

The fourth option

Step-by-step explanation:

It reflexs accros the x axis which is horizontal