The angle that is an alternate interior angle with angle 1 is angle ?

The Angle That Is An Alternate Interior Angle With Angle 1 Is Angle ?

Answers

Answer 1

Answer:

the alternate angle is angle 2

Answer 2

Answer:

2

Step-by-step explanation:

Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.


Related Questions

i am less than 10, i am a multiple of 2, i am a composite.

Answers

Answer:

8

Step-by-step explanation:

List the sides of Triangle STU in order from greatest to least if angle S=7x-36, angle T=5x-1, and angle U=x+9

A. ST,TU,ST
B. ST,TU,SU
C. TU,ST,SU

Answers

Answer:

SU, TU, ST

Step-by-step explanation:

Given:

<S = 7x - 36,

<T = 5x - 1,

<U = x + 9

First, find the value of x

(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)

7x - 36 + 5x - 1 + x + 9 = 180

Collect like terms

13x - 28 = 180

Add 28 to both sides

13x = 180 + 28

13x = 208

Divide both sides by 13

x = 16

Next, find the measure of each angle.

<S = 7x - 36,

Plug in the value of x

m<S = 7(16) - 36 = 76°

<T = 5x - 1,

m<T = 5(16) - 1 = 79°

<U = x + 9

m<U = 16 + 9 = 25°

The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.

Thus.

The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.

The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.

The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.

From greatest to the least, the sides of ∆STU are:

✅SU, TU, ST

999x85 i need help getting the answers for this question

Answers

the answer for this is 84915

Answer please here is a picture:

Answers

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%


Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Find the value of the test statistic,
Round to two decimal places as needed

Answers

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

What postulate proves the two triangles are congruent?

Answers

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

I'm not sure the answer

Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.

Required:
a. What is the probability that a green marble was chosen?
b. What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
c. What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?

Answers

Answer:

a

[tex]P(N_g) = 0.5155[/tex]

b

 [tex]P(K ) = 0.36364[/tex]

c

[tex]P(U1 | N_y ) = 0.7223[/tex]  

Step-by-step explanation:

From the question we are told that

  The number of green marbles in Urn 1 is  [tex]N_g = 4[/tex]

   The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]

   The number of green marbles in Urn 2 is  [tex]n_g = 7[/tex]

   The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]

    The probability of choosing Urn 1 is  [tex]P(U1) = 0.63[/tex]

    The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]

Generally the total marble in Urn 1 is  

     [tex]N_t = N_g +N_y[/tex]

=>  [tex]N_t = 4 + 5[/tex]

=>  [tex]N_t = 9[/tex]

Generally the total marble in Urn 2 is  

     [tex]n_t = n_g +n_y[/tex]

=>  [tex]n_t = 7+4[/tex]

=>  [tex]n_t = 11[/tex]

Generally the probability of choosing green marble is

     [tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]

=>   [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]

=>   [tex]P(N_g) = 0.5155[/tex]

Generally  the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as

     [tex]P(K ) = \frac{n_y}{n_t}[/tex]

=>   [tex]P(K ) = \frac{4}{11}[/tex]

=>   [tex]P(K ) = 0.36364[/tex]

Generally the probability of choosing yellow marble is

     [tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]

=>   [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]

=>   [tex]P(N_y) = 0.4845[/tex]

Generally  the  probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as

     [tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]

=>   [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]

=>   [tex]P(U1 | N_y ) = 0.7223[/tex]      

How many times does the digit one appear from 101 to 200

Answers

118 times
Gdhejegevehsgcsfshahs

Answer:

Step-by-step explanation:

Let's get the answer first and then we can discuss how it is done. The answer is 119.

There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.

How was it done? A programming language was used. So it counted by brute force.

From 101 to 120 we get

101  102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

32  Certainly there must be a quicker way

101 = 2

102 to 109 = 1 * 8 = 8

110 to 119 = 10*2 = 20  

111 has an extra 1  = 1

120 has                    1

Total                       32  

From here it gets a bit easier.

121                      2

122 - 129            8

total                  10

130                     1

131                      2

132 - 139           8  

total                  11

140 to 149        11

150 to 159        11

160 to 169        11

170 to 179         11    

180 to 189         11

190 to 199         11

total 7 * 11 + 32 + 10 = 119

Help me!, CERTAIN ANSWRS INLY I DONT UNDEDRSTNDDDDDD THANK YOU IN ADVance

Answers

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = [tex]-8+28e^{-0.045x}[/tex]

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = [tex]-8+28e^{(28\times 0)}[/tex]

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]

       = [tex]-8+28.e^{(-0.81)}[/tex]

       = [tex]-8+12.456[/tex]

       = 4.456 C

       ≈ 4° C

The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, what is the probability our average would be more than 83.7?

Answers

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean [tex]\mu[/tex] = 75

Variance [tex]\sigma^2 =961[/tex]

The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]

The sample size n = 100

[tex]\mu = \mu_{\overline x} = 75[/tex]

[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]

[tex]\sigma _{\overline x} = 3.1[/tex]

[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

Suppose that the economy is experiencing a recession with an estimated recessionary gap of $10 billion. Congress is considering the use of fiscal policy to ease the recession, but due to current political sentiments, it has determined that the maximum spending increase the government is willing to support is $3 billion. It wants to make up the remainder of the recessionary gap using tax cuts.

If a spending increase of $3 billion is approved and the MPC is 0.6, by how much will taxes need to be reduced to close the remainder of the recessionary gap?

Answers

Answer:

4.66 billion

Step-by-step explanation:

Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2

Answers

Answer:

The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:  y = 2x + 5

(Hope it can help)

Answer:

y=2x+5

Step-by-step explanation:

hope you understood

Mr. Williams drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?

Answers

Answer:

275 miles

Step-by-step explanation:

PLEASEEEE HELPPP MEEE
6 and 7 PLEASE

Answers

Answer:

Question 6

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

[tex](5a+2)(a+4)[/tex]

solving to the expand

[tex](5a+2)(a+4)[/tex]

[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]

so the expression becomes

[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]

[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]

[tex]=5a^2+20a+2a+8[/tex]

adding similar elements: 20a+2a=22a

[tex]=5a^2+22a+8[/tex]

Hence,

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

                                                  Question 7)

Given

[tex]A\:=\:8x^2[/tex][tex]l=4x[/tex]

Using the formula

width = Area/Length

          [tex]=\:\frac{8x^2}{4x}[/tex]

          [tex]=2x[/tex]                  ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]

Therefore, the width is 2x.

pls anwer quick, i need this before tomorrow

Answers

Answer:

SYNTAX ERROR

Step-by-step explanation:

Jonathan wants to make mashed potatoes for eight people. He found a recipe which feeds two people and requires five ounces of potatoes. How many potatoes does he need? (express your answer in pounds and ounces) (1 lb = 16 oz)

ANSWER ASAP
SHOW WORK

Answers

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb

the lines below are parrellell. if the slope of the green line is -2. what is the slope of the red line

Answers

Answer:

ummm.... -2 ? because both lines are parallel they have the same slope

5x-7=5x bud it no solution one solution infinitely many solutions

Answers

Answer:

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Step-by-step explanation:

are the triangles congruent ?

Answers

I’m pretty sure there not but I might be wrong

\The graph for the equation y = negative x + 2 is shown below. On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0). If another equation is graphed so that the system has an infinite number of solutions, which equation could that be? y = negative 2 (x minus 1) y = negative (x + 2) y = negative one-fourth (4 x minus 8) y = negative one-half (x + 4)

Answers

An infinite number of solutions is generated with a multiple of the first function, hence, the correct option is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

The graph given is:

[tex]y = -x + 2[/tex]

When two equations are multiple, the system involving these two equations has infinite solutions.

Among the options, the multiple of the original function is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

[tex]y = -x + 2[/tex]

Hence, [tex]y = -\frac{1}{4}(4x - 8)[/tex] is the correct option.

A similar problem is given at https://brainly.com/question/25718527

The correct answer is C

-Banana

An industrial factory makes 2 3/8 yards of rope every minute. The cost of each yard is $4.06. What is the total cost of rope that can be made in 15 minutes?

A. $36.63
B. $60.90
C. $21.44
D. $144.66

Answers

The answer is 144.66

Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

the last one :)

Step-by-step explanation:

can someone help me with this

Answers

Answer:

16 + 10 ÷ 2

Step-by-step explanation:

We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10   2

Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this

Answers

Answer:

YOU DID THAT TEST? samee

Step-by-step explanation:

What is 3250 divided by 1/2

Answers

Similar to 3250 times 2
Which is equal to 6500

Answer:

6500

Step-by-step explanation:

KCF

3250/1 ÷ 1/2

3250/1 x 2/1

3250 x 2=  6500

1 x 1 = 1

final answer 6500/1 or 6500

x^3-x^2-4x
factor completely

Answers

Answer:

Cannot be factored further

Step-by-step explanation:

[tex]x^{3} -x^{2}-4x=x(x^{2}-x-4 ) \\[/tex]

Answer:

x(x^2-x-4)

Step-by-step explanation:

There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4

Answers

There is no simpler ratio then 1:4. So the answer is 1:4.

How does carbon move from plants to animals?
Group of answer choices

Photosynthesis

Decomposition

Ingestion (eating)

Respiration

Answers

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

solve this question step by step​

Answers

Answer:

BE = 49

Step-by-step explanation:

In triangle BDC

  65^2=56^2+BD^2

  65^2-56^2=BD^2

  4225-3136=BD^2

  1089=BD^2

   33=BD

In triangle FDE

    65^2=63^2+DE^2

    4225-3969=DE^2

    256 = DE^2

    16=DE

since ED+DB=BE

THEREFORE

      16+33=BE

         49=BE

In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there

Answers

Answer:

392

Step-by-step explanation:

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