In the diagram, Triangle ABC ~ Triangle ACD. If AD = 12 and DB = 15, What is AC?

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

Answer:

392

Step-by-step explanation:

Answer:3

Step-by-step explanation: i think

Answer:

He can by 3 candy bars.

Step-by-step explanation:

15.00-9.95=5.05

5.05-1.50=3.55

3.55-1.50=2.05

2.05-1.50=0.55 cents

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

Answer:

WARWRAESTRDYTFJYwarehstrdjhtfj

Step-by-step explanation:

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:

Answer:

67

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

Answer:

SAS(SIDE ANGLE SIDE)

Step-by-step explanation

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABDC

The congruence theorem can be used to prove ABDA - ABDC is SAS.

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is’ ≅’.

According to the questions,

AB side in ABDA = AB side in ABDC

ABD angle in  ABDA= ABD angle in ABDC

BD side in ABDA = BD side in ABD

Thus SAS is applied.

Hence SAS(Side Angle Side) is the required answer.

To learn more on congruence click :

https://brainly.com/question/20418145

#SPJ2

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

Answer:

the last one :)

Step-by-step explanation:

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:

Answer:

3*​x-​4

Step-by-step explanation:

Answer:

last one ?

Step-by-step explanation:

you can prove it by base angle threom  because this a isscloes triangle

Answer:

7

Step-by-step explanation:

Answer:

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

the answer for this is 84915

Answer:

No

Step-by-step explanation:

Because they are equal

Answer: no , it’s equal

Step-by-step explanation:

9 yards is equal to 324 inches

Cuz there are 36 inches in 1 yard

So 36(9) = 324 inches!!

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]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

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.

Answer:

its b

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yh its b what else am i ment to say

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

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

Answer:

SYNTAX ERROR

Step-by-step explanation:

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

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb