In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

Answer:

Step-by-step explanation:

A) 1/3 of 5

1/3 of 5 = (1/3)*5 = 1*5/3 = 5/3

Answer:

w=-1

Step-by-step explanation:

-15w-6w+7w=14

-21w+7w=14

-14w=14

w=14/-14

w=-1

Answer:

-15w -6w +7w=14

- 21w+7w =14

-14w =14

divide both sides by 14

-w = -1

w = 1

Step-by-step explanation:

Answer:

You forgot to attach the image

Answer:

D(4,3)

Step-by-step explanation:

Plot pointa A, B, C on the coordinate plane.

Thus,

Therefore, the coordinates of point D are (4,3)

Answer:

[tex]V=\frac{49}{2}\ cm^3[/tex]

or

[tex]V=24.5\ cm^3[/tex]

Step-by-step explanation:

we know that

The volume of the rectangular prism is

[tex]V=LWH[/tex]

where

L is the length

W is the width

H is the height

substitute the given values in the formula

[tex]V=(\frac{7}{5})(5)(\frac{7}{2})[/tex]

[tex]V=\frac{245}{10}\ cm^3[/tex]

Simplify

[tex]V=\frac{49}{2}\ cm^3[/tex] ---> fraction form

or

[tex]V=24.5\ cm^3[/tex] ----> decimal form

The volume of the rectangular prism is 24.5 cm³.

To find the volume of a rectangular prism, you use the formula Volume = length × width × height. Given the dimensions of the prism are 7/5 cm by 5 cm and 7/2 cm, we calculate the volume by multiplying these three dimensions together.

Volume = (7/5) cm × 5 cm × (7/2) cm

First, simplify the calculation by multiplying the whole numbers: Volume = (7 × 5 × 7) / (5 × 2) cm³, which simplifies to Volume = 49/2 cm³. Then, divide 49 by 2 to get Volume = 24.5 cm³.

Answer:

1. Vertical Angles Theorem

2. Converse of Alternate Interior Angles Theorem

Step-by-step explanation:

First option:

Lines AC and BD intersect at point E. Angles AEB and CED are opposite angles formed when these two lines intersect and are called vertical angles. By vertical angles theorem, these angles are congruent. So,

Vertical Angles Theorem

Second option:

[tex]\triangle BEC\cong \triangle DEA[/tex] by SAS postulate, then

[tex]\angle CBE\cong \angle ADE[/tex] as corresponding sides of congruent triangles.

Converse of Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

So, [tex]\overline{BC}\cong \overline{AD}[/tex] by

Converse of Alternate Interior Angles Theorem

Answer:

1.B            2.B

Step-by-step explanation:

Answer:

250 Cookies

Step-by-step explanation:

First calculate the cookies decorated per hour

100 ÷ 2 = 50 cookies per hour

Number of cookies in 5 hours = 50 × 5

= 250 Cookies

Answer:

250

Step-by-step explanation:

Divide 100 by 2 to get the hourly rate which would be 50. Then take the hourly rate and multiply it by the number of hours given, 5. 5 multiplied by 50 equals 250 cookies

Answer:

[tex]1mg = 0.001g \\ 12 \times 325 = 3900 \\ \frac{3900}{1000} = 3.9g[/tex]

hope it helps pls mark braiest

Answer: [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

We have the following equation:

[tex](2N)(5^{2})=\frac{25}{32}[/tex]

Isolating [tex]N[/tex]:

[tex](2N)(25)=\frac{25}{32}[/tex]

[tex]2N=\frac{25}{(32)(25)}[/tex]

[tex]N=\frac{1}{(32)(2)}[/tex]

Finally:

[tex]N=\frac{1}{64}=0.0156[/tex]

College can be expensive, but it is worth the expense. Students should consider financial aid when applying for colleges. Here are common ways to fund a college education: earn scholarships, obtain loans, and find a job. Therefore, the correct answer choice is: C. are.

In English language, a sentence is a group of words or phrases that comprises a subject and predicate, which are typically used by an author or speaker in order to convey a logical information about a subject matter to an audience (readers or listeners).

A verb is one of the parts of speech in English language and it refers to any word that describes an action, occurrence, or a state of existence.

In this context, we can reasonably infer and logically deduce that the most appropriate word to complete the sentence is "are" because it is a linking verb and it connects the subject with objects in plural form.

Answer:

y = -2x - 6

The y-intercept will be (0,-6)

One point will be at (1,-8)

The line will go downward since it is a negative slope

Step-by-step explanation:

y−2=−2(x+4)

Distribute

y - 2 = -2x - 8

Move the constant to the other side

y - 2 = -2x - 8

  +2 =        +2

y = -2x - 6

Answer:

y=2x-13

Step-by-step explanation:

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

m=(-7-(-1))/(3-6)

m=(-7+1)/-3

m=-6/-3

m=2

y-y1=m(x-x1)

y-(-1)=2(x-6)

y+1=2x-12

y=2x-12-1

y=2x-13

Answer:

135°

Step-by-step explanation:

An angle of 45° has a supplementary angle of 180° - 45° = 135°

Answer: 135

Step-by-step explanation:

Two angles are said to be supplementary if they sum up to be 180.

Let the supplementary angle to 45 be x ,

then :

x + 45 = 180

x = 180 -45

x = 135

Answer:

Ans is 30.................

Answer:

[tex](n+2)^2+6[/tex]

Step-by-step explanation:

Pattern 1 consists of

[tex]3+3\times 3+3[/tex] small squares (here n = 1 and [tex]3\times 3=(1+2)\times (1+2)[/tex]).

Pattern 2 consists of

[tex]3+4\times 4+3[/tex] small squares (here n = 2 and [tex]4\times 4=(2+2)\times (2+2)[/tex]).

Pattern 3 consists of

[tex]3+5\times 5+3[/tex] small squares (here n = 3 and [tex]5\times 5=(3+2)\times (3+2)[/tex]).

Thus, pattern n consists of

[tex]3+(n+2)\times (n+2)+3=6+(n+2)^2[/tex] small squares.

Whitney's speed was 35 miles per hour.

Let's let x represent Whitney's speed in miles per hour (mi/h). Then, Whitney's mother's speed would be x + 5 mi/h. Since time is equal to distance divided by speed, and both Whitney and her mother arrived at the same time, we can set their times equal to each other:

Whitney's time = Distance / Speed = 7 miles / x mi/h

Mother's time = Distance / Speed = 8 miles / (x + 5) mi/h

7/x = 8/(x + 5)

7(x + 5) = 8x

7x + 35 = 8x

x = 35 mi/h

Therefore, Whitney's speed was 35 miles per hour.

Answer:

(8m^7n^6)/3.

Step-by-step explanation:

(2mn)^4/6m^-3n^-2

= 16m^4n^4 / 6m^-3n^-2

= (8m^7n^6)/3

Answer:

C

Step-by-step explanation:

Note the diameter of a circle is twice the radius, thus

diameter = 2 × 19 = 38 cm → C

Answer:

m=-1/4 or - 0.25

watch explanation

Answer:

- 1/4

Step-by-step explanation:

slope (m) = difference of y / difference of x

m = (10 - 11) / (-4 - (-8)) = -1 / 4

Answer:

4:24 p.m.

Step-by-step explanation:

Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.

The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.

The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.

6 = 2 X 3

8 = 2 X 2 X 2

The greatest times 2 repeats is three times.

The greatest times 3 repeats is one time.

2 X 2 X 2 X 3 = 24

The LCM is 24, and the buses have the same leaving times every 24 minutes.

Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .

The buses will next leave together at 4:24 p.m.

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

10,000,000

It is is the tens millions place.

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

The eight place from the right.

Step-by-step explanation:

1, 10, 100, 1.000, 10.000, 100.000, 1.000.000, 10.000.000

Answer:

s = P - t - r

Step-by-step explanation:

You are solving for the variable, s. To do so, isolate the variable. Note the equal sign, what you do to one side, you do to the other.

First, subtract the variable t from both sides of the equation:

P (- t) = s + t (-t) + r

P - t = s + r

Next, isolate the variable s by subtracting r from both sides:

P - t (-r) = s + r (-r)

P - t - r = s

s = P - t - r

s = P - t - r is your answer.

~

Good morning,☕️

Answer:

Step-by-step explanation:

_________________________

3 notifications books to 2 novels

then

18 notifications books to 12 novels

then

12 novels to 4 cookbooks

finally, we get 18 notifications books to 4 cookbooks

________________________

2 cookbooks to 6 novels

then

6 novels to 9 notifications books

finally ,we get 2 cookbooks to 9 notifications books

_________________________

2 novels to 3 notifications books

Finally ,we get  8 novels to 12 notifications books.

:)

Answer:

18 notifications books to 4 cookbooks

2 cookbooks to 9 notifications books

8 novels to 12 notifications books.

Step-by-step explanation:

Answer:

[tex]\displaystyle 36\:units[/tex]

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100[/tex]

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:

[tex]\displaystyle 2[10] + 2[8] = 20 + 16 = 36[/tex]

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

 { first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}

3* (9-5) - 3*2 = 3* 4 - 3*2  

                     = 12 - 6  =  6

(16-8) / (4-2)  = 8 / 2 = 4        

3* (9-5) - 3*2   > (16-8) / (4-2)

Answer: 23.548

Step-by-step explanation: The thousandths place is 3 places to the right of the decimal point so in this problem, the digit in the rounding place is 8.

The rules of rounding says that if the digit to the right of the rounding place is greater than or equal to 5, we round down but if the digit to the right of the rounding place is less than 5, we round down.

Since the digit to the right of the rounding place, 1, is less than 5, we round down. This means that the digit in the rounding place which is 8 stays the same and we change all digits to the right of 8 to zero.

So we have 23.5480.

Finally, it's important to understand that when rounding decimals, we can drop any zeroes to the right of the decimal point as long as they're also to the right of the rounding place.

This means that 23.5481 rounded to the nearest thousandth is 23.548.

Answer:

[tex]\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}[/tex]

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

[tex]\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}[/tex]

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

[tex]\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}[/tex]

The area of its dilated image EFGH is

[tex]\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}[/tex]

Step-by-step explanation: To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers.

Next, we compare the digits place by place starting on the left.

1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0.

This means that 18.4 is greater than 18.04.

So to answer your question, 18.04 is less than 18.4

Answer:

Step-by-step explanation:

 This is a simple proportion problems.

7 kilogram weight attache to a spring stretches  = 6 meters

 1 kilogram would stretch                                       =  6/7 m

Therefore 42 kilograms would  stretch                  = (6/7 x 42)meters

                                                                                 =  36 meters.

Answer:

92.056543

Step-by-step explanation: