what do you call the statements that are assumed to be true and do not need proof?​

Answer:

25/3

Step-by-step explanation:

3x:10=5:2

proportions are basically ratios, and ratios are basically fractions, so we can cross multiply

3x*2=10*5

6x=50

x=50/6

x=25/3

Step-by-step explanation:

please mark me as brainlest

Answer: (4)

Step-by-step explanation:

The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.

Answer:

x-1

Step-by-step explanation:

f(x) = x+1

g[f(x)] = x

g[x+1]=x

g(x)=x-1

Answer:

Step-by-step explanation:

Anything going from lower left to upper right is a positive slope.

The lines are not easily seen. My best estimate is that one point is (2,5)

Use the two points you are sure of.

(0,-1) and (1,2)

Givens

Formula

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - - 1) / (1 - 0)

m = 3/1

m = 3

Hello!

The first step is to subtract 1 from both sides.

[tex]\bf{3x+1=38}[/tex]

[tex]\bf{3x=37}[/tex]

Now, divide both sides by 3:

[tex]\bf{\displaystyle\frac{37}{3} }[/tex]

Can this fraction be simplified? Nope.

Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)

Hence, the answer is

[tex]\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

[tex]\boxed{An~Emotional~Helper!}[/tex]

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

Answer: 18.0 feet

Step-by-step explanation:

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

Answer:

5 + 3(4)

5+ 12

17

Step-by-step explanation:

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Answer:

17

Step-by-step explanation:

5 + (3 x 4)

5 + (12)

17

You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).

I hope this helped!

Answer:

20 seconds

Step-by-step explanation:

I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.

As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.

The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.

Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]

Then, this function has:

For this case, we're given that:

[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]

We can rewrite it as:

[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]

Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).

Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.

Learn more about amplitude and period of a cosine function here:

https://brainly.com/question/4104379

Answer:

160 degrees

Step-by-step explanation:

We can split up the angle into two sections:

One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).

So we just add them two together

70+90=160

Answer:

Step-by-step explanation:

Answer: 40 degrees

Step-by-step explanation:

Answer:

54 in one bus

Step-by-step explanation:

96/2=48

48+6=54

Answer:

Below in bold.

Step-by-step explanation:

30 = 2 * 3 * 5

12 = 2 * 2 * 3

Note that 2 and 3 are common to both factors

so the HCF = 2*3 = 6.

Only one 2 and one 3 of the duplicates are included in the LCM:

so the LCM = 2 * 3 * 2 * 5 =  60

20 = 2 * 2 * 5

12 = 2 * 2 * 3

HCF = 2 *2 = 4

LCM = 2*2*3*5 = 60.

Answer:

D. 39.3 yd

Step-by-step explanation:

Left tackle:

tan 35° = 15/x

x = 15/tan 35°

x = 21.42

Right tackle:

tan 40° = 15/x

x = 15/tan 40°

x = 17.88

x + y = 39.3

Answer: D. 39.3 yd

Answer:

B: 6 miles

Step-by-step explanation:

You divide 18 by 3 and get 6.

Answer:

35 degrees

Step-by-step explanation:

Answer:

The measure of the angle is 35 degrees

Step-by-step explanation:

There are two measurements on the protractor.

If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.

In this case the angle is acute, so the measure is 35 degrees.

Hope that helps!

The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section

The question is incomplete;

So, I will give a general explanation on how to set up a definite integral for volume of a solid

Assume the solid is a cone;

Using the disk method, the integral of the volume is:

[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]

Using the washer method, the integral of the volume is:

[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]

Read more about volume integrals at:

https://brainly.com/question/18371476

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: https://brainly.com/question/14527816

Answer:

111.72

simplify multiply

⇒ 76% * 147

⇒ (76/100) * 147

⇒ 111.72

Hiya! :D

My name is Violet, and I will be helping you on your question!

[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]

[tex]\sf{Group \: like \: terms:}[/tex]

[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]

[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]

[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]

[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]

[tex]\sf{= 3j \: + \: 12}[/tex]

Hope It Helps ! ^-^

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

[tex]\huge \pmb {\frak{Violet}}[/tex]

Answer:

43.75%

Step-by-step explanation:

Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44

Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!

Step-by-step explanation:

Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

Asked: Find the value of x = ?

Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ

⇛√{1 + (2/3)} = (0.6)²⁻³ˣ

⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ

⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ

⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ

⇛√(5/3) = (0.6)²⁻³ˣ

Squaring on both sides then

⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²

⇛√(5²/3²) = {0.6}(²⁻³ˣ)²

⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²

⇛5/3 = {0.6}(²⁻³ˣ)²

[[tex]\mathsf{\because}[/tex] (aᵐ)ⁿ = aᵐⁿ]

⇛5/3 = (0.6)²*²⁻³ˣ*²

⇛5/3 = (0.6)⁴⁻⁶ˣ

⇛5/3 = (6/10)⁴⁻⁶ˣ

⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ

⇛5/3 = (3/5)⁴⁻⁶ˣ

⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ

[[tex]\mathsf{\because}[/tex] a⁻ⁿ = 1/aⁿ]

Base are the same, so the exponents must be equal.

[tex]\mathsf{\therefore}[/tex] -1 = 4 - 6x

Shift the number 4 from RHS to LHS, changing it's sign.

⇛-1 - 4 = -6x

⇛-5 = -6x

⇛x = {(-5)/(-6)}

[tex]\mathsf{\therefore}[/tex] x = 5/6

Answer: Hence, the value of x for the given problem is 5/6.

also read similar questions: (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? https://brainly.com/question/25746379?referrer

(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. https://brainly.com/question/25746273?referrer

Answer:

Damain has bought enough juice.

Step-by-step explanation:

1 qt(quart) = 2 pints.

3 qt = 6 pints.

6 pints > 5 pints (6 pints is bigger than 5 pints)

Therefore, Damain has bought enough juice.

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Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.

At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypotheses, it is tested if there is a difference, hence:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

For each sample, they are given by:

[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]

[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{0.17 - 0}{0.205}[/tex]

[tex]t = 0.83[/tex]

Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Answer:

About 260 seconds

Step-by-step explanation:

Tha rate is:

A: 8L/1.66666m

b: 10L/1m (converted to litres)

Divide 2400 by those rates above which:

2400 / (8/1.66666) = 500

2400 / (10/1) = 240

500 - 240 = 260