a. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answer:

3/4

Step-by-step explanation:

as 1 hour is 60 minutes, to express in fraction form, we have to divide.

so

45/60 can be simplified to 3/ 4 when 15 is taken out as common of both. so the answer is 3/4

Answer:

3/4

Step-by-step explanation:

1 hour= 60 minutes

45/60

simplify the fraction by dividing the numerator and denominator by 5

45÷5=9 and 60÷5=12

new fraction =9/12

simplify 9/12 by dividing the numerator and denominator by 3

9÷3=3 and 12÷3=4

Ans.=3/4

45 minutes is 3/4 of an hour

Answer:

x = 93

Step-by-step explanation:

*for angle labels, see picture below

Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:

m<EAC = m<CAB + m<BAE

m<EAC = x + 39

Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.

Now, we can write an equation to solve for x:

m<EAC = m<ACD

x + 39 = 132

x = 93

Answer:

x=93°

Step-by-step explanation:

If l ıı m

l=180° ; 132°+?(y) =180° (Co-interior angle)

Find the value of y

132°+y=180°(Transpose)

y=180°-132°

y=48°

...

Find x

39°+x+48°=180°(Transpose)

x=180°-48°-39°

x=93°

Ok.

You predicted that your tip will be $200.

You realised that you were wrong by less than 10%.

So,

10% of $200

= (10/100) × $200

= $20

So, your actual tip can be less or more by less than $20.

$160 (less than $200 by $40, so error = 20%)

$180 (less than $200 by $20, so error = 10%)

$200 (equal to $200, so error = 0%)

$220 (more than $200 by $20, so error = 10%)

$240 (more than $200 by $40, so error = 20%)

So, your possible actual tips can be:

$200 (equal to $200, so error = 0%)

Answer:

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 7.5 hours

This means that [tex]\mu = 7.5[/tex]

Standard deviation 27 minutes.

An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]

What is the probability that the battery life is at least 8.1 hours?

This is 1 subtracted by the p-value of Z when X = 8.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a p-value of 0.9082.

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Answer:

Arc QR = 111.5°

Step-by-step explanation:

Given:

Arc QR = (3x + 38)°

Arc PS = (5x - 10)°

m<QMP = 68°

Required:

Measure of arc QR

Solution:

Recall: Angles of intersecting chords theorem states that the angle formed equals half of the sum of the intercepted arcs

This by implication means:

m<1 = ½(arc QR + arc PS)

We are given arc QR, and arc PS.

m<1 = 180° - m<QMP (angles on a straight line)

m<1 = 180° - 68°

m<1 = 112°

Plug in the values into the equation and solve for x

112° = ½(3x + 38 + 5x - 10)

Multiply both sides by 2

2*112 = 3x + 38 + 5x - 10

224 = 3x + 38 + 5x - 10

Add like terms

224 = 8x + 28

224 - 28 = 8x + 28 - 28

196 = 8x

196/8 = 8x/8

24.5 = x

x = 24.5

✅Let's find arc QR

Arc QR = (3x + 38)°

Plug in the value of x

Arc QR = 3(24.5) + 38 = 73.5 + 38

Arc QR = 111.5°

Answer:

A (0,3) (-3,-3)

Step-by-step explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(-3 + 3)[/tex]

[tex]y + 3 = 0[/tex]

[tex]y = -3[/tex]

So (-3,-3) is part of the graph.

When x = 0

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(0 + 3)[/tex]

[tex]y + 3 = 6[/tex]

[tex]y = 3[/tex]

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Answer:

Step-by-step explanation:

2x+11+6x-7=180 (being linear pair)

8x+4=180

8x=180-4

8x=176

x=176/8

x=22

MHA=2x+11

=2*22+11

=44+11

55

MHT=6x-7

=6*22-7

=132-7

=125

=

Answer:

2X+11+6X-7 =180

8X+4 =180

8X. =180-4

8X. =176

X. =22

MHA=2X+11

=44+11

=55

MHT=6X-7

=132-7

=125

The solution of the logarithmic function log₂₇165  found using logarithmic properties is :

(1 + log ₃55)/3.

What is a logarithmic function?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.

We are asked to solve the following logarithmic function.

 log₂₇165

Here the base of the log is 27.

According to logarithmic properties, we can write the above functions as:

 log₂₇165  = log 165 /  log 27

If we are dividing the numerator and denominator by log 3, then the new base will become 3.

(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27

Now we can solve as follows,

log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3

                                          = (1 + log ₃55)/3

Therefore the solution of the logarithmic function log₂₇165  is

(1 + log ₃55)/3.

To learn more about logarithmic functions, follow the link.

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Answer:

Step-by-step explanation:

Any expression that says (2 * 4)/3 is correct, even though there is a shift in the brackets. That means that A, B, C are all the same thing, and all are correct.

Only D is lying.

2*(1/3) = 2/3

4*(1/3) = 4/3     Now we have to add them

2/3 + 4/3 = 6/3 = 2

To show what the real answer is, try A

2*4/3

8/3  is the actual answer.

Answer:

I can't really see I wish I can help

Answer:

You didn't attach an image, can't exactly help. sorry!

Answer:

$750 dollars

Step-by-step explanation:

Y = 3.009(275) - 77.131

Y = 827.475-77.131

Y = 750.344

Answer:

5000

Step-by-step explanation:

250,000 x .02 (2%)=5000

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The value of [tex]x°[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]

[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ [tex]x°[/tex] + 125° + 20° = 180°

➪ [tex]x°[/tex] + 145° = 180°

➪ [tex]x°[/tex] = 180° - 145°

➪ [tex]x°[/tex] = 35°

Therefore, the value of [tex]x°[/tex] is 35°.

Now, the three angles of the triangle are 35°, 125° and 20°.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]

✒ 35° + 125° + 20° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

128659.6037

Step-by-step explanation:

contiously compounding interest formula:

PV(e^(i*t))

100000e^(.021*12)=128659.6037

Answer:

-5.55-4.2c

Step-by-step explanation:

-5.55-8.55c+4.35c

-8.55c and 4.35c are like terms so you have to combine them.

-8.55c+4.35c=-4.2c

-5.55 is NOT a like term so it is on its own.

final answer -> -5.55-4.2c

*** don't forget -5.55 is negitive  ***

hope this helped negative:)

Answer:

Step-by-step explanation:

let one angle=a°

second angle=(90-a)°

tan a=7/10=0.7

a=tan^{-1}(0.7)≈35.0°

other angle=90-35=55.0°

Answer:

thousands

Step-by-step explanation:

56437

tents hundreds thousands

Answer:

3/5

Step-by-step explanation:

12/20 = 3/5

Answer:

197.34

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

x = -75.9

y = 2.6

-xy

Step 2: Evaluate

Answer:

Step-by-step explanation:

We know that h must be a negative number. In this case, h is equal to -14.

Hope this help!!!

Have a great day!!!

Answer:

there is no table appearing so unfortunately no one can answer this for you. sorry!!

Answer:

336

Step-by-step explanation:

A total of 512 possible words can be made.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 8 letters word "FGHIJKLM"

Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -

y = 8ˣ

y = 8ˣ

y = 8 x 8 x 8

y = 512

Therefore, a total of 512 possible words can be made.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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Answer:

[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]

Answer:

0

The vectors are perpendicular

Step-by-step explanation:

(4,8) (6,-3)

The inner product is also known as the dot product

4*6 + 8*-3 = 24-24 = 0

The  vectors are perpendicular since the dot product is zero