Examine the figure below. If ABC is similar to the DEF, determine the measure of

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

Learn more about expressions, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Answer:

Download the app photomath and right your solution

First, you need to know what "m" and "b" represents.

"m" represents slope, and "b" represents the y intercept.

For the equation you can combine the information to get y = mx + b

To find "m" indentify points, and see how many you have to go up/down then left/right.

To find "b" since the graphis given see where the line crosses the y axis. (0, b)

1. m = -1, b = 3

y = -1x + 3

2. m = 1, b = -3

y = 1x -3

3. m = 3/1 or 3, b = 1

y = 3x + 1

4. m = -3/1 or -3, b = -3

y = -3x -3

Answer:

D. 0.65

Step-by-step explanation:

0.05 x 5=0.25

0.01 x 5=0.05

0.07 x 5=0.35

0.25+0.05+0.35=0.65

they all must pay 0.65 each

Answer:

0.65

Step-by-step explanation:

Answer:

3/8 because 3/8 as a percent is 37.5 percent

Step-by-step explanation:

Answer:

3/8 is greater

Step-by-step explanation:

3/8 as a percent is 37.5

37.5% > 25%

Therefore 3/8 is greater

Tip:

Covent one to the other unit

like 3/8 to a percent or 25% as a fraction.

But if you are looking for which is greater in fraction form then 25%

Answer:

Step-by-step explanation:

Here is the exact form and decimal form!

Answer:

Step-by-step explanation:

$25.30

and

$68.04

Answer:

25.3 and 77.5 i think

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

x+3= -6

×= -6-3

x= -9

mark me branliest

Answer:

emojissss  

Step-by-step explanation:

:3 =.= XD :7

Answer:

Not a function becuase one input value corresponds with multiple output values.

Step-by-step explanation:

Hope it helps

Answer:

9

Step-by-step explanation:

2-11 = -9

3-4 = -1

-9/-1 = 9

Answer:

It is 63 or 63/1. Billy used change in x over change in y, and the correct formula for slope is the change in y over the change in x.

He might have done it backwards.

1/63

and could be 63 miles in 1 hour

63/1.

Because the graph looks good. (i think)

Answer:

c

Step-by-step explanation:If you never know an answer just pick c:)daily life advice

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

Answer:

You are correct!

Answer:

14 ; 40

Step-by-step explanation:

Number of unpopped popcorn = 1600 kernels

Kernel per popped corn = 120

Number of boxes needed :

Number of unpopped / kernel per popped corn

1600 / 120

= 13.3333

Hence, number of boxes needed = 14

Number of popped kernel. In partially filled box :

1600 - (120 * 13)

1600 - 1560

= 40

Answer:

232 miles had travelled when Houa fell asleep.

Step-by-step explanation:

1. .29 x 800 = 232

If the total length of the trip was 800 miles then 232 miles had they travelled when Houa fell asleep.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Houa's family took a road trip to the Grand Canyon.

Houa fell asleep 29% of the way through the trip.

If the total length of the trip was 800 mile we need to find the number of miles they travelled when Houa fell asleep.

29% can be converted to decimal by dividing with 100

29/100=0.29

Now multiply 0.29 with 800

0.29×800

232 miles

Hence, 232 miles had they travelled when Houa fell asleep.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

Answer:

i dont know this is ut of my slybos

Step-by-step explanation:

The end points of cd are given.find the coordinates of the midpoint M. C(-8,-6) and D(-4,10)

Answer:

5:3:6

Step-by-step explanation:

because I took math

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer:

9/16

Step-by-step explanation:

Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ2

Answer:

Step-by-step explanation:

I think it’s a

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42