Which expression is equivalent to Measure of angle 4?

Which expression is equivalent to Measure of angle 4?

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.
Measure of angle 2 + measure of angle 3
Measure of angle 1 + measure of angle 2
Measure of angle 1 + measure of angle 3
Measure of angle 5 + measure of angle 6

Answer:

Stem  Leaf

5          4 6

6          2 5 6

7          0 2 2 4

8          5 5 8 8 8

9          0 1 2 7 9

Step-by-step explanation:

That is how the stem and leaf plot will look like

Hope this helps

Answer:

option 1

Because not all of them are equal lengths

Answer:

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Step-by-step explanation:

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin B}{21} [/tex]

[tex] \sin B = \dfrac{21\sin 72^\circ}{34} [/tex]

[tex] \sin B = 0.5874 [/tex]

[tex] B = \sin^{-1} 0.5874 [/tex]

[tex] B = 35.97^\circ [/tex]

C = 180° - 72° - 35.97°

C = 72.03°

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 72^\circ}{34} = \dfrac{\sin 72.03^\circ}{c} [/tex]

[tex]c = \dfrac{\sin 72.03^\circ \times 34}{\sin 72^\circ}[/tex]

[tex] c = 34.00 [/tex]

Given: A = 72°, a = 34, b = 21

Calculated: B = 35.97°, C = 72.03°, c = 34.00

Answer:

[tex]B\approx35.97^\circ\\C\approx72.03^\circ\\c\approx34[/tex]

Step-by-step explanation:

Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Given information

[tex]A=72^\circ\\a=34\\b=21[/tex]

Check if solutions exist

As [tex]A=72^\circ < 90^\circ[/tex] and that [tex]a > b\rightarrow 34 > 21[/tex], then there exists only one possible triangle by the Ambiguous Case

Solve the triangle

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(B)}{21}\\ \\ 21sin(72^\circ)=34sin(B)\\\\\frac{21sin(72^\circ)}{34}=sin(B)\\ \\B=sin^{-1}(\frac{21sin(72^\circ)}{34})\\ \\B=35.97394255^\circ\approx35.97^\circ[/tex]

[tex]A+B+C=180^\circ\\\\72^\circ+35.97394255^\circ+C=180^\circ\\\\107.97394255^\circ+C=180^\circ\\\\C=72.02605745^\circ\approx72.03^\circ[/tex]

[tex]\frac{sin(72^\circ)}{34}=\frac{sin(72.02605745^\circ)}{c}\\\\c*sin(72^\circ)=34sin(72.02605745^\circ)\\\\c=\frac{34sin(72.02605745^\circ)}{sin(72^\circ)}\\ \\c=34.00502065\approx34[/tex]

The perpendicular bisector of the diameter divides the diameter into two equal parts i.e. the radius

From the diagram of the circle, we have two diameters, each of which have two endpoints.

This means that there are four endpoints in the figure.

Next, we connect adjacent endpoints on the diagram

When the endpoints are connected, the shape formed is a square

See attachment for the sketch

Read more about constructions at:

https://brainly.com/question/1686819

Answer:

6 cupcakes for £5

Step-by-step explanation:

Given :-

Two options

To Find :-

Which is better value for money

Solving :-

Find the cost of one cupcake of the two options

1. 6 cupcakes = £5

=> 1 cupcake = £0.83

2. 4 cupcakes = £3.50

=> 1 cupcake = £0.875

Solution :-

It would be wiser to purchase 6 cupcakes for £5

Answer:

perimeter =22units

Step-by-step explanation:

30units is supposed to be the are and its supposed to be 30 units squared

Answer:

line 2.

Step-by-step explanation:

the correct way is provided in the attachment (under the green line). Note, only positive value (it is the length of the side) can be considered as answer.

Answer:

Kyle has 25 postcards

Step-by-step explanation:

Joanna has 45 postcards in her collection, which is 180% of the number of postcards of Kyle.

If the number of postcards of Kyle is K, and the number of postcards of Joanna is J, then:

J=180% K

Recall a percentage can be expressed in decimal by dividing by 100:

J=180/100*K

To find the value of K, we solve the above equation:

K=100/180*J

Since J=45:

K=100/180*45=25

Kyle has 25 postcards

Answer:

y = 4 1/3x+ 6  

Step-by-step explanation:

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).

-18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  =  y=4 1/3 x+b

Step 2. -18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3  is a horizontal line parallel to the x-axis.

Step 3. Therefore y= 4 1/3  is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then  x = 4 1/3   so y = 4 1/3x + 6  

Step 4. ANSWER: The equation is  y = 4 1/3x+ 6  where slope m=4 1/3 and y intercept b=6.  

Answer:

3x-9

Step-by-step explanation:

Answer:

does this help?........

Answer: It changes the slope from positive to negative.

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

Subtracting x from both sides, we get 5=45, which is false.

Depth is 3.81

Step-by-step explanation:

V = l x w x d

11.43 = 2.5 x 1.2 x d

11.43 = 3 x d

÷3

3.81 = d

Hope this helps!

6.0x74=444

4.5x80=360

5.1 x 78 = 397.8

1.9 x 70=133

The sequence of transformations involves reflection, translation, dilation and reflection

The question is incomplete;

So, I will give a general explanation

For the two rectangles are similar shapes, then the corresponding sides of the shapes must be similar.

If the rectangles do not have the same size, then the scale ratio of the sides of the rectangles must be the same

if the rectangles have the same size, then the rectangles must fit perfectly on one another

Read more about transformation at:

https://brainly.com/question/4289712

There are three section here

First section is the event of only E, the second is the event of only F, and the third is the event of the overlap of E and F

E or F means the total unit of events. Which is (only E)+(only F)-(E and F)

Using substitution we get 45=20+45-(E and F)

solving the equation

E and F=65-45

E and F=20

Therefore, P(E and F) is 20

I hope this helps, if you have any questions please ask!

9514 1404 393

Answer:

Step-by-step explanation:

The given inequality is in vertex form:

  y = a(x -h)^2 +k . . . . . . has vertex (h, k)

so the vertex can be read from the given expression.

  y > (x +2)^2 -1   ⇒   (h, k) = (-2, -1) . . . the vertex

The leading coefficient (+1) is positive so the parabola opens upward.

__

The y > ( ) tells you the boundary line is dashed (is not part of the solution). It also tells you the shading is above the curve, hence inside the parabola.

The two offered points (0, 0), (2, -3) are NOT part of the solution set.

Answer:

I am sure it's 2

Step-by-step explanation:

Source: Trust me bro

Answer:

The answer is 2 because 1 plus 1 is like having 2 things

Answer:

[tex]y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]

Step-by-step explanation:

[tex]y''+3y'+2y=5sin(\pi x),\: y(0)=y'(0)=0\\\\\mathcal{L}\{y''\}+3\mathcal{L}\{y'\}+2\mathcal{L}\{y\}=\mathcal{L}\{5sin(\pi x)\}\\\\s^2Y(s)-sy(0)-y'(0)+3[sY(s)-y(0)]+2Y(s)=\frac{5\pi}{s^2+\pi^2}\\\\s^2Y(s)+3sY(s)=\frac{5\pi}{s^2+\pi^2}\\ \\(s^2+3s)Y(s)=\frac{5\pi}{s^2+\pi^2}\\ \\Y(s)=\frac{5\pi}{(s^2+\pi^2)(s^2+3s)}\\ \\Y(s)=\frac{5\pi}{s(s+3)(s^2+\pi^2)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{5 \pi}{s \left(s + 3\right) \left(s^{2} + \pi^{2}\right)}=\frac{A}{s}+\frac{B}{s + 3}+\frac{C s + D}{s^{2} + \pi^{2}}\\5\pi=s \left(s + 3\right) \left(C s + D\right) + s \left(s^{2} + \pi^{2}\right) B + \left(s + 3\right) \left(s^{2} + \pi^{2}\right) A\\\\5 \pi=s^{3} A + s^{3} B + s^{3} C + 3 s^{2} A + 3 s^{2} C + s^{2} D + \pi^{2} s A + \pi^{2} s B + 3 s D + 3 \pi^{2} A\\\\5\pi=s^3(A+B+C)+s^2(3A+3C+D)+s(\pi^2A+\pi^2B+3D)+3\pi^2A[/tex]

Solve for each constant

[tex]\begin{cases} A + B + C = 0\\3 A + 3 C + D = 0\\\pi^{2} A + \pi^{2} B + 3 D = 0\\3 \pi^{2} A = 5 \pi \end{cases}[/tex]

[tex]3\pi^2A=5\pi\\A=\frac{5}{3\pi}[/tex]

[tex]A+B+C=0\\3A+3B+3C=0\\(3A+3B+3C=0)-(3A+3C+D=0)\\3B-D=0\\3B=D[/tex]

[tex]\pi^2A+\pi^2B+3D=0\\\pi^2(\frac{5}{3\pi})+\pi^2B+3(3B)=0\\\frac{5\pi}{3}+\pi^2B+9B=0\\ B(\pi^2+9)=-\frac{5\pi}{3}\\B=-\frac{5\pi}{3(\pi^2+9)}\\B=-\frac{5\pi}{3\pi^2+27}[/tex]

[tex]3B=D\\3(-\frac{5\pi}{3\pi^2+27})=D\\-\frac{5\pi}{\pi^2+9}=D[/tex]

[tex]A+B+C=0\\\frac{5}{3\pi}-\frac{5\pi}{3\pi^2+27}+C=0\\\frac{15\pi^2+135}{3\pi(3\pi^2+27)}-\frac{15\pi^2}{(3\pi)(3\pi^2+27)}+C=0\\\frac{135}{9\pi^3+81\pi}+C=0\\\frac{15}{\pi^3+9\pi}+C=0\\C=-\frac{15}{\pi^3+9\pi}[/tex]

Take the inverse transform and solve for the IVP

[tex]Y(s)=\frac{\frac{5}{3 \pi}}{s}+\frac{- \frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}+\frac{- \frac{15 s}{9 \pi + \pi^{3}} - \frac{5 \pi}{9 + \pi^{2}}}{s^{2} + \pi^{2}}\\\\Y(s)=\frac{\frac{5}{3 \pi}}{s}-\frac{\frac{5 \pi}{27 + 3 \pi^{2}}}{s + 3}-\frac{ \frac{15 s}{9 \pi + \pi^{3}}}{s^{2} + \pi^{2}}-\frac{\frac{5\pi}{9+\pi^2} }{s^2+\pi^2}\\ \\y(x)=\frac{5}{3\pi}-\frac{5\pi}{27+3\pi^2}e^{-3x}-\frac{15}{9\pi+\pi^3}cos(\pi x)-\frac{5}{9+\pi^2}sin(\pi x)[/tex]

Answer:

  7 cubic units

Step-by-step explanation:

There are 6 unit cubes on the bottom layer, and one on the top layer. The total volume is ...

  6 +1 = 7 . . . . cubic units

Answer: x=-3

Step-by-step explanation:

In this question, they simply want you to find a pair of x and y-coordinates that would be valid in this equation.

We can take a random number for x, like, say, 3.

y = 2x + 6

y = 2(3) + 6

y = 6 + 6

y = 12

Since giving the value of 3 to x results in y being 12, we can safely say that the coordinates (3, 12) would be valid in this equation. Therefore:

(12) = 2(3) + 6

Let me know if you need me to explain anything.

- Breezyツ

Answer:

D. 0.05

Step-by-step explanation:

5 x 10 = 50

50 as a decimal

0.5

Answer: -122

Step-by-step explanation:

-234+112=-122 hope that helps!

Answer:

-122

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

  Statements:                                              Reasons:

1) [tex]\angle 4\cong \angle 3; c\parallel d[/tex]                                           Given

2) [tex]\angle 1\cong \angle 3[/tex]                                                 Alternate Interior Angles Theorem

3) [tex]\bf{\angle 4 \cong \angle 1}[/tex]                                                 Transitive Property of Congruence

4) [tex]\angle 1\cong \angle 2[/tex]                                                 Vertical Angles Theorem

5) [tex]\bf{\angle 4\cong \angle 2}[/tex]                                                 Transitive Property of Congruence

And we’re done!

Answer:

y = (-1/3)x + 4

Step-by-step explanation:

m = rise/run =    y2 - y1         3 - 4        -1

                         -----------   =   -------- = ----

                          x2 - x1          3 - 0       3

y = mx + b

y = (-1/3)x + b

Pick either coordinate. For this, I'll pick (0, 4)

4 = (-1/3)(0) + b

4 = b

y = (-1/3)x + 4

If you are certain about M = (-5/6), then replace (-1/3) with (-5/6)

I hope this helps!

Answer:

(1+1)+1=3 therefore 3×10¹

Answer: 3 times 10 to the power of just 0

Step-by-step explanation:

(1+1) + 1 is 3

So now we must put the number 3 in standard form...

The answer for this would be 3 times 10 to the power of 0

Answer: 1.2y+5

If 1+4 =5 and 2.1y-0.9y=1.2y then 1+2.1y-0.9y+4 = 1.2y+5

Answer:

[tex]x=\frac{324}{5}[/tex]

Step-by-step explanation:

Given the following question:

[tex]\sqrt{5x} -7-3=8[/tex]

To find the answer we are going to use inverse of operations to isolate the variable x, doing this we can then find the value of the variable and then have our answer.

[tex]\sqrt{5x} -7-3=8[/tex]
[tex]-7-3=-10[/tex]
[tex]\sqrt{5x} -10=8[/tex]
[tex]-10+10=0[/tex]
[tex]8+10=18[/tex]
[tex]\sqrt{5x} =18[/tex]
[tex]\sqrt{5x} =5[/tex]
[tex]18\times18=324[/tex]
[tex]5x=324[/tex]
[tex]5x\div5=x[/tex]
[tex]324\div5=x=\frac{324}{5}[/tex]
[tex]x=\frac{324}{5}[/tex]

Your answer is "x = 324/5."

Hope this helps.