Which reason justifies the statement below?

If AB + BC = AC and AC = EF + FG,

then AB+BC= EF+FG
Ill give brainless if answered fast

Answers

Answer 1

segment addition postulate

sum is the same


Related Questions

Find the measure of:​

Answers

Answer:

4.8x10

Step-by-step explanation:

Each pair of polygons is similar. Write a similarity statement for the polygons and the scale
factor

Answers

Answer:

second one r                  

Step-by-step explanation:

Please help I put a screenshot of the assignment

Answers

Answer:

78.5ft^2

Step-by-step explanation:

calculations done on a calculator

Answer:

78.5

Step-by-step explanation:

4 x 2.5 = 10 ft

4.5 x 2.5 = 11.25

4.5 x 4 = 18

18 + 10 + 11.25 = 39.25

39.25 x 2 = 78.5

What is the distance, in a radical form, between the points (5,-6) and (2,5).

Answers

Answer:

L²=(x1-x2)²+(y1-y2)²

L2=(5-2)²+(-6-5)²

L²=3²+(-11)²

L²=9+121

L²=130

L=✔130

In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?

Answers

The expression JK||GI implies line JK and GI are parallel lines

The ratio of HK : KI is 3 : 1

What is a ratio?

A ratio is used to show the relationship between two related quantities

How to determine the ratio?

The given parameter is:

HJ : JG = 3 : 1

Given that JK||GI , then it means that:

HJ : JG = HK : KI

This gives

HK : KI = 3 : 1

Hence, the ratio of HK : KI is 3 : 1

Read more about equivalent ratios at:

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The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30

Answers

Answer:

i need the photo to answer

Step-by-step explanation:

Solve the equation please

Answers

Answer:

y = 14

Step-by-step explanation:

| y + 3 | = 17

simplify:

y + 3 = 17

subtract 3 on both sides:

y + 3 - 3 = 17 - 3

y = 14


Determine the measure of angle C using a trigonometric ratio.

Answers

Answer:

34.836

Step-by-step explanation:

sin(C)=opp/hyp=16/28=4/7

C= inverse sin = 34.836 deg

The angle of the right-angled triangle using trigonometric ratio is 34.84°.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right-angled triangle.

The hypotenuse side, h = 28

The perpendicular side, p =16

The trigonometric ratio that relates hypotenuse side and the  perpendicular side is sine θ.

[tex]Sine \theta=\frac{perpendicular}{hypotenuse}[/tex]

⇒ [tex]Sine\theta = \frac{16}{28}[/tex]

⇒ [tex]Sine \theta=0.5714[/tex]

⇒ [tex]\theta = Sine^{-1} (0.5714)[/tex]

⇒ [tex]\theta = 34.84[/tex]

Hence we can conclude that the angle of the right-angled triangle using trigonometric ratio is 34.84°.

Learn more about trigonometry here

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Help me out thanks !!!!!!

Answers

Answer:

a = 12

Step-by-step explanation:

as C^2 = A^2 + B^2

by Pythagoras theorem

so

A^2 = C^2 - B^2

= 13^2 - 5^2

= 169- 25

144

as 12^2 is equal to 144

hence side a is equal to 12

Answer:

[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]

ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10

Answers

Answer:

it should be the last one

Step-by-step explanation:

7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.

Answers

Answer:

It will take 23 years for the account to grow to $7000.

Step-by-step explanation:

Simple Interest

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Carly has a bank account with a balance of $3,575.

This means that [tex]P = 3575[/tex]

The account pays simple interest at a rate of 4.15%.

This means that [tex]I = 0.0415[/tex]

How long will it take for the account to grow to $7000?

[tex]T = 7000[/tex]

The interest is:

[tex]T = E + P[/tex]

[tex]E = T - P = 7000 - 3575 = 3425[/tex]

Now we have to find t.

[tex]E = P*I*t[/tex]

[tex]3425 = 3575*0.0415*t[/tex]

[tex]t = \frac{3425}{3575*0.0415}[/tex]

[tex]t = 23.1[/tex]

Rounding to the nearest year, it will take 23 years for the account to grow to $7000.

Daniel opened a savings account with $1600 that pays no interest. He deposits an additional $200 each week thereafter. How much money would Daniel have in the account 25 weeks after opening the account?

Answers

6600 is the answer

200x25 >>>5000
5000+1600....6600

PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!

Answers

Answer:

1:4

2:8

3:12

4:16

Step-by-step explanation:

1:4 2:8 3:12 4:16 because every one is adding 4 hope this helps. ;)

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:

Answers

Answer:

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.

This means that [tex]\mu = 30, \sigma = 2[/tex]

Sample of 400 batteries. The sampling distribution of is approximately:

So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]

By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.

Help fast please....

Answers

Answer:

152 cm²

Step-by-step explanation:

it cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?

Could you please give me the equation and show me how you got it please so I could understand... thanks.

Answers

Answer:

8.75

Step-by-step explanation:

if a bottle of 150 vitamins is 5.28...then that of 250 vitamins

x is the value of a single vitamin, therefore

5.25- 150

x- 1

150x divide by 5.25=0.035

therefore 250*0.035= 8.75

I need help asap please someone help

Answers

Answer:

yes,yes,no,yes

Step-by-step explanation:

can somebody help me with this quickly I forgot how to do this and yeah ill mark you!

Answers

Answer:

4/11 i believe

Step-by-step explanation:

Angle measures 82.6° less than the measure of its supplementary angle. What is the measure of each angle

Answers

Answer:

  131.3°, 48.7°

Step-by-step explanation:

Let x represent the larger angle. Then x-82.6 is the smaller one. Their sum is ...

  x +(x -82.6) = 180

  2x = 262.6

  x = 131.3

  x -82.6 = 48.7

The two angle measures are 48.7° and 131.3°.

In UVW, the measure of ZW = 90°, UV = 96 feet, and VW = 58 feet. Find the
measure of V to the nearest degree.

Answers

Answer:

V=52.831≈ 53

Step-by-step explanation:

cosV=

hypotenuse

adjacent

=

96

58

\cos V = \frac{58}{96}

cosV=

96

58

V=\cos^{-1}(\frac{58}{96})

V=cos

−1

(

96

58

)

V=52.831\approx 53^{\circ}

V=52.831≈53

The solids are similar. Find the missing dimension.

Answers

Answer:

i need the picture

Step-by-step explanation:

To find the missing measure of similar solids, set up a proportion of corresponding dimensions. Then, cross multiply and divide. To find the surface are of similar solids, set up a ratio of surface area equal to the squared ratio of given linear measures. Then cross multiply and divide.

The temperature was very cold.
Then the temperature tripled.
Then the temperature dropped by 14 degrees.
Then the temperature increased by 32 degrees.
The temperature is now 51 degrees.
What was the starting temperature?
Do NOT write degrees.

Answers

Answer:

51-32+14=33

33÷3=11

answer is 11

si se opta por la primera modalidad cuanto de dinero se abra pagado al sexto mes

Answers

Answer:Los contratos de opciones se pueden tasar utilizando modelos matemáticos como los modelos de precios Black-Scholes o Binomial. El precio de una opción se compone principalmente de dos partes distintas: su valor intrínseco y su valor temporal. ... El valor temporal se basa en la volatilidad esperada del activo subyacente y el tiempo hasta el vencimiento de la opción.

Step-by-step explanation:¡espero que esto ayude!

Btw's I speak english too!

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

Answer:

B 53

Step-by-step explanation:

Write the fraction 28 in its simplest form.
70​

Answers

Answer: 2/5

Step-by-step explanation: 28/70 ÷ 12/12 = 2/5

The simplest form of the given fraction is 2 / 5

What is a fraction?

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given is a fraction, 28 / 70, we have to convert it into its simplest form,

28 / 70

= 2(14) / 5(14)

= 2 / 5

Hence, the simplest form of the given fraction is 2 / 5

For more references on fractions, click;

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What is the value of x?

Answers

The value of x is 12 I believe

When you factor a trinomial, you are undoing what process?

Answers

I think it’s FOIL not fs tho...

Answer:

you would be undoing the FOIL process

Recall the study about anchoring , in which students estimated the population of Milwaukee aft er some had been told about Chicago and others about Green Bay.

a. Describe in words the parameter(s) of interest in the context of this study.
b. In the context of the parameter(s) described in part (a), express the null and alternative hypotheses for testing whether the class data give strong evidence in support of the anchoring phenomenon described above. If you use symbols, make sure to defi ne them.
c. Check whether the conditions for the validity of the theory-based t-test to compare two means are satisfi ed here.
d. Use appropriate technology (an applet or a statistical soft - ware package) to conduct a t-test of signifi cance of the hypotheses that you stated in part (b). Report the test statistic and p-value.
e. State your conclusion in the context of the study, being sure to comment on statistical signifi cance.
f. Determine and interpret the 95% confi dence interval using a theory-based approach for the parameter(s) of interest in the context of the study.
g. Comment on causation and generalization for this study.

Answers

Answer:

hduyvhudsnuv uisdhavusdhvu wujwfhuvudf hu cvhfdyu  yf u fe7tg76iufe ygy

Step-by-step expleanation:

tgdwtydttfdtydfdsgfdgfdsvsfvgffgfg fg fg f gf gfg

fg

fg

g

fg

f

I need help plzzzzzzzzz​

Answers

Answer is:

a= 90-70

=20

Answer:

The missing angle is 20°

Step-by-step explanation:

The square by the vertex indicates that this is a right angle. A right angle measures 90°. So what you can do is subtract the 70° from the 90°, to get 20°.

Hope this helps! Have a great day! :)

Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75°.

Mr. Gow plans from the planning department that call for the ramp to start 25 feet away from the building code?

a. Draw an appropiate diagram. Add all the measurements you can. What does Mr. Gow need to find?

b. According to the plan in part (a), what angle will the ramp make with the ground? Will the ramp be to code?

c. If Mr. Gow builds the ramp exactly to code, how long will the ramp be? In other words, at least how far from the building must the ramp start in order to∞ meet the building code? Show all work.

(NOT A MULTIPLE CHOICE)

Answers

9514 1404 393

Answer:

  a.  see below for diagram. Angle for the length; length for the angle

  b. 6.84°; not to code

  c. 36.1 ft

Step-by-step explanation:

a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.

__

b. The angle the ramp makes can be found using the tangent relation.

  Tan = Opposite/Adjacent

  tan(angle) = 3/25

  angle = arctan(3/25) ≈ 6.84°

The ramp will make a 6.84° angle with the ground. It will not meet code.

__

c. We can find the distance from the building where the ramp must start using the same trig relation.

  tan(4.75°) = (3 ft)/(distance)

  distance = (3 ft)/tan(4.75°) ≈ 36.1 ft

The ramp must start 36.1 feet from the building to exactly meet code.

ABOVE answer is absolutely correct

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