Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.

Answer:

it must be 8cm + 9 cm

Step-by-step explanation:

A Triangel has three sides: a, b, c

The rule is, that in the triangle it is always:

a+b>c

a+c>b

b+c>a

The given side is 13 cm, so the two other sides need to be bigger than 13 cm.

5 cm + 8 cm = 13 cm - cannot be the two sides

6 cm + 7 cm = 13 cm - cannot be the two sides

7 cm + 2 cm = 9 cm < 13 cm - cannot be the two sides

8 cm + 9 cm = 17 cm > 13 cm - these are the sides you looked for!

Answer:

4, 5, 6

Step-by-step explanation:

Represent the first number by x.  Then the next two consecutive integers are x + 1 and x = 2.  

THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.

Then 3x = 12, and x = 4.

The consecutive integers are 4, 5 and 6.

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

To learn more about the inductive visit:

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Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

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As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

Answer:

-22 1/2

Step-by-step explanation:

-2 1/2 *s

Let s = 9

-2 1/2 (9)

Change to an improper fraction

-5/2 *9

-45/2

Change back to a mixed number

-22 1/2

Answer:

B) ∠B ≅ ∠K

Step-by-step explanation:

The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).

Answer:

A) ∠C ≅ ∠L

Step-by-step explanation: I took the test

Answer:

58500,72000

Because 65% and 80% of 90000 results in these answers

Answer:

D) ΔPNK ≅ ΔIKN by SAS

Step-by-step explanation:

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.

Answer:

answer is C PNK=IKN by SAS

Answer:

Step-by-step explanation:

A: Take 8*6 which build a rectangle, then take out 2*3 squares to create the same shape as in the picture

B: split the shape into two pieces, so one rectangle has the sides 4 and 8 and the rectangle has 2 and 5. Multiply the 4 with 8 and 2with 5 then add them together

C: Add the amount of squares in a layer one by one together

D: split the shape into 2 rectangles but instead of a horizontal split, do a vertical split so first rectangle has the sides 5 and 6 and the other has 3 and 4. Multiply 5 with 6 and 3 with 4 and add both results together

you may have to change the english a bit since english is not my first language

Answer:

what are the two answers?

Answer:

She needs to score 82

Step-by-step explanation:

Mean of five test scores = 82

Let the score she got in fifth test = x

[tex]\frac{84+93+91+60+x}{5}=82\\\\\frac{328+x}{5}=82\\\\328+x=82*5\\\\328+x=410\\\\x=410-328\\\\x=82[/tex]

Answer:

The last option

Step-by-step explanation:

Mainly because its not exactly word for word what was said but instead it was paraphrased and changed to still have the same information.

Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

Answer:

x=-1

Step-by-step explanation:

3(x+5)=12

Step 1: Simplify both sides of the equation.

3(x+5)=12

(3)(x)+(3)(5)=12(Distribute)

3x+15=12

Step 2: Subtract 15 from both sides.

3x+15−15=12−15

3x=−3

Step 3: Divide both sides by 3.

3x

3

=

−3

3

x=−1

Answer:

x = -1

Step-by-step explanation:

3(x+5)=12

Divide each side by 3

3/3(x+5)=12/3

x+5 = 4

Subtract 5 from each side

x+5-5 = 4-5

x = -1

Answer:

true

Step-by-step explanation:

hectometer is 100 meters,

thus 6 hectometers is equal to 600 meters, and the statement is true

x + 13 = 7x+1

Subtract x from both sides:

13 = 6x +1

Subtract 1 from both sides:

12 = 6x

Divide both sides by 6:

x = 2

Answer:

x=2

Step-by-step explanation:

x+13=7x+1

6x=12

x=2

Answer:

700

Step-by-step explanation:

100+600. = 700 total points

Answer:

700

Step-by-step explanation:

100 + 600 =700 total

Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the measure of the angle is less than 90°, then the angle is an acute angle.

If the measure of the angle is equal to 90°, then the angle is a right angle.

If the measure of the angle is greater than 90°, then the angle is an obtuse angle.

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer:

14

Step-by-step explanation:

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

Answer:

700 pounds

Step-by-step explanation:

if 46 euros cost 40 pounds

then 805 euros will cost 805 multiplied 40

whatever answer you get divide it by 46

Answer:

D: [-3, ∞)

Step-by-step explanation:

The x values go from -3 to infinity

The domain is the set of valid x values.   That's all real numbers -3 and up, last choice.

Answer:

The slope is 4

Step-by-step explanation:

Everytime x goes up by 1, y goes up by 4.

4/1=1

The slope of line is 4.

Therefore,the table represents the slop relationship between the lines....

please see the attached picture for full solution

hope it helps

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer:

AC: 12

Step-by-step explanation:

Answer:

She will get $320 in Canada

Step-by-step explanation:

multiply $350*1.28 witch is the Canadian dollar currency

that gets you $320

Answer:

(-0.25,0) and (0,-1)

Step-by-step explanation:

I used a graphing calculator.

Put function the the calculator

then ind two points on the function and that is your answer

Answer:

296

Explanation:

To solve this problem, subtract 128 from 424.

424 - 128

296

Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.

Answer: 296 points

Step-by-step explanation:

424 - 128 = 296

Answer:

4 × 5 = 20

Step-by-step explanation:

Imagine this: the X is 4 and the Y is 5.

You want to find the area of it, so the equation would be

4 × 5 = 20

HOPE THIS WAS HELPFUL!!!!

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation: