Consider the figure below where MN is parallel to PQ, angle PTS is equal to (19x +5) and angle NST is equal to (17x +15), determine angle MSR and angle STQ

Answer:

-0.5 is the larger average rate

Step-by-step explanation:

-3.142 is less than -0.5

Answer:

D

Step-by-step explanation:

The x-axis is the horizontal line. Therefore D is directly on the line, making it on the x axis.

Answer:

r = 32 1/3

Step-by-step explanation:

5/(r-9) = 8/(r+5)

cross multiply:

5 x (r + 5) = 8 x ( r - 9)

5r + 25 = 8r - 72

Add 72 to both sides:

5r + 97 = 8r

Subtract 5r from both sides

97 = 3r

Divide both sides by 3

r = 32 1/3

-Chetan K

Answer:

r = 32 1/3 or 97/3

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Subtract 8r from both sides.

Step 3: Subtract 25 from both sides.

Step 4: Divide both sides by -3.

Therefore, r = 32 1/3 or 97/3.

Answer:

8/12-1/5=7/15 reduce 8/12 to 2/3

Answer:

mB = 113 degrees

Step-by-step explanation:

180 - 67 = 113

Answer:

mB=113

Step-by-step explanation:

mA=67

Triangles are 180 with all angles added together.

To find mB subtract mA with 180.

180 - 67 = 113

mB=113

Answer:

x[f]=at^2/2+v[i]t+x[i]

Brackets dennote a subscript.

You're given x[f], a, t,and v[i]. You can just plug in their values into the formula and solve for x[i]. The horizontal velocity is irrelevant, the height of the tower is the initial position of the arrow, and final position is gonna be when it reaches the ground,or 0.

Answer:

Not if you want it to be a positive number. You can but it will be a negative.

Step-by-step explanation:

Answer:

cccccccccccccccccccccccc

Answer:

y=-5/4x+1

Step-by-step explanation:

y- y-coordinate= slope(x- x-coordinate)

y- (-4)= -5/4 (x - 4)

y - (-4)= -5/4x +5

move (-4) to the other side of the equal sign, the sign changes to +4

y= -5/4x +5 +4

y=-5/4x+1

Answer:

First find x

70-x=4x

-x-4x=-70

-5x=-70

x=14

Angle BEC = 70°-x

=70-14

=56°

Angle AEB = 180- 56

= 124°

Angle DEA =4x

= 4× 14

= 56°

Angle CED = 180-56

=124°

Answer:

Step-by-step explanation:

the answer is (4 x 4)+2

Answer:

o (4+2) x4   is the expression that means 4 batches of 4+2 teaspoons of vanilla.

Step-by-step explanation:

1c = t(4 + 2) is created as t = tspoon but any letter cna represent and maybe the o means teaspoons so lets compare

we see the brackets on (4+2) x4 and use this. And if you must put a 0 in front then I would also convert to show without 0 and show both

As long as brackets separate the (4x 2) to the 4 batches it becomes a workable expression.

When algebra becomes understandable for multiplying we show 4(4 +2)

because in brackets its always add or subtract, but we recognise mainly as the question is worked out first for one part being  1 cupcake = 1c

so 1c = 4t+2t

then;  4c = 4t+2t

we need to multiply the set as a reverse to usual equations that try to make you find what t or c means.

so as we are not subtracting the numbers either side of the = we can just demonstrate a multiplication

4( 4+2)t = 0(4+2) x 4

equation in bold = expression given and chosen

they both mean the same so we know the first one in bold is an equation and the 2nd one as asked is an expression

#1

[tex]\\ \sf\longmapsto (1+cosx)(1-cosx)[/tex]

[tex]\\ \sf\longmapsto 1-cos^2x[/tex]

[tex]\\ \sf\longmapsto sin^2x[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}[/tex]

[tex]\\ \sf\longmapsto tan^2x-sec^2x[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

the distance is 7 units

Step-by-step explanation:

pls mark me brainliest :))

Answer:

90mm^2= 90×10^-2 = 0.9 cm^2

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

You can just use the formula [tex]x=-\frac{b}{2a}[/tex]:

[tex]y=ax^2+bx+c[/tex]

[tex]y=\frac{1}{2}x^2-2x+3[/tex]

[tex]x=-\frac{-2}{2(\frac{1}{2})}=\frac{2}{1}=2[/tex]

[tex]y=\frac{1}{2}(2)^2-2(2)+3=\frac{1}{2}(4)-4+3=2-4+3=-2+3=1[/tex]

Therefore, the minimum value of the equation is [tex](2,1)[/tex]

Answer:

36.25 units

Step-by-step explanation:

Hi there!

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points ​(19​,−8​) and ​(−14​,−23​):

[tex]d=\sqrt{(19-(-14))^2+(-8-(-23))^2}\\d=\sqrt{(19+14)^2+(-8+23)^2}\\d=\sqrt{(33)^2+(15)^2}\\d=\sqrt{1089+225}\\d=\sqrt{1314}\\d=36.25[/tex]

Therefore, the distance between the points is approximately 36.25 units.

I hope this helps!

Answer:36.25

Step-by-step explanation:distance between (x1, y1) and (x2,y2) is square root of (x2-x1)^2 + (y2-y1)^2. think of graph the distance between two points is the hypotenuse of a right angle triangle where the height is the difference of y and base is the difference of x

= square root of (19+14)^2 +(-23+8)^2= 36.25

Answer:

Step-by-step explanation:

Use the given rule and find the coordinates as follows:

The points are plotted, see the attached.

Answer:

Before I start, wouldn't you go right three times since it's x + 3 not x - 3. Id.k maybe I'm just slow.

Anyways, take your current points which are A(-2,-4), B(0,0), and C(1,-3) and apply the new mapping rule to them. For example: (-2 + 3, -4 -5), and that will give you A' (1,-9). If you do the same to the other two, you'd have B' (3,-5) and C' (4,-8).

I graphed A, B, C, and A', B', C' above for you.⤴⤴

Hope the graph makes sense, good luck :)

Answer:

Step-by-step explanation:

The ratio given:

Toni receives $160, which is 5 portions.

Each portion is:

Shai gets:

Mara receives:

Step-by-step explanation:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Answer:

height = 5 m

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = Ah ( A is area of base and h the height )

Here V = 120 and A = 24 , then

24h = 120 ( divide both sides by 24 )

h = 5

The height of the crate is 5 m

Answer:

t=44°

U=92°

Step-by-step explanation:

V=W=44°

U=180-(44×2):92°

Answer:

.72x + .27 = .36(x + 3)

Answer:

ln (1 + sin^2(x)) + C

Step-by-step explanation:

Note that sin(2x) = 2 sin(x) cos(x).

So, the integrand is rewritten as:

(2 sin(x) cos(x)) / (1 + sin^2(x) ).

Now, make the substitution u = sin(x), so that du = cos(x) dx.  Thus, in terms of the variable u, the integrand is

(2 u )/(1 + u^2).

Make another substitution v = 1 + u^2, so that dv = 2 u du, and the integrand in terms of v is

1 / v

Now, we integrate, and then back substitute to write that the indefinite integral is

ln |v| + C = ln |1 + u^2| + C = ln |1 + sin^2(x)| + C + ln (1 + sin^2(x)) +C, since 1 + sin^2(x) + 1 is positive for all real x.

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the given integral.

[tex] \displaystyle \rm = \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx[/tex]

[tex] \displaystyle \rm = \int \dfrac{2 \sin(x) \cos(x) }{1 + \sin^{2} (x) } \: dx[/tex]

Now let us assume that:

[tex] \rm \longmapsto u = 1 + { \sin}^{2}(x)[/tex]

[tex] \rm \longmapsto \dfrac{du}{dx} = 2 \sin(x) \cos(x) [/tex]

[tex] \rm \longmapsto dx = \dfrac{1}{2 \sin(x) \cos(x) } \: du[/tex]

Therefore, the integral becomes:

[tex] \displaystyle \rm = \int \dfrac{1}{u} \: du[/tex]

[tex] \displaystyle \rm = \ln(u) + C[/tex]

[tex] \displaystyle \rm = \ln(1 + sin^{2}x ) + C[/tex]

Therefore:

[tex] \displaystyle \rm \longmapsto \int \dfrac{ \sin(2x) }{1 + \sin^{2} (x) } \: dx = \ln(1 + sin^{2}x ) + C[/tex]

Answer:

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

[tex]slope = y2 - y1 \div x2 - x1[/tex]

[tex]6 - 1 \div - 2 - 3[/tex]

[tex]5 \div - 5 [/tex]

[tex] - 1[/tex]

[tex]y = mx + c[/tex]

[tex]1 = - 1 \times 3 + c[/tex]

[tex]1 = - 3 + c[/tex]

[tex]1 + 3 = c[/tex]

[tex]c = 4[/tex]

[tex]y = - 1x + 4[/tex]

[tex]y = - x + 4[/tex]

Answer:

By eating plants or other animals that contain nitrogen

Answer:

61

Step-by-step explanation:

(-7x)+5

Let x = -8

-7*(-8) +5

56+5

61

Answer:

61

Step-by-step explanation:

Here you are just substituting for x.

Since x = -8  we just plug that into the expression.

-7x + 5

-7(-8) + 5

56 + 5

= 61

Answer:

$11 per hour

Step-by-step explanation:

Answer:

$11 per hour

I divided 82.5 by 7.5 and got 11.