A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x.

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5

Answer:

-10<x<6

Step-by-step explanation:

Find where x starts and where x ends

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]

Answer:

if your in high school why you need the answer

Step-by-step explanation:

t f

hi i am a boy that does math at school

Given:

Two box plots for Brand A and Brand B.

To find:

The correct statement for the given box plots.

Solution:

In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.

The interquartile range of a data set is:

[tex]IQR=Q_3-Q_1[/tex]

From the box plot of Brand A, it is clear that

[tex]Q_1=70[/tex]

[tex]Median=75[/tex]

[tex]Q_3=80[/tex]

So, the interquartile range (IQR) for brand A is:

[tex]IQR=80-70[/tex]

[tex]IQR=10[/tex]

From the box plot of Brand B, it is clear that

[tex]Q_1=50[/tex]

[tex]Median=60[/tex]

[tex]Q_3=70[/tex]

So, the interquartile range (IQR) for brand B is:

[tex]IQR=70-50[/tex]

[tex]IQR=20[/tex]

The median for brand A, $75, is greater than the median for brand B, $60.

The interquartile range (IQR) for brand A, $10, is less than the IQR

brand B. $20.

Therefore, the correct options are B and C.

20%

Hope this helps! :)

______________

Answer:

yes

Step-by-step explanation:

the answer is 165 I think because I didn't understand the question

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

=================================

Work Shown:

Rise = -3

Run = 2

Slope = rise/run = -3/2 = -1.5

----------------

Notes:

Answer:

m = - 3 / 2

Rise : -3

Run : 2

Step-by-step explanation:

According to the picture,

first coordinate : ( 2 , 1 )

second coordinate : ( 4 , - 2 )

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

Substituting,

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

m = - 3 / 2

If this helps you, please mark brainliest!

Answer:

180(n-2) or B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(-32÷4)^2 -9 + (-7)

=(8)^2 -9 + (-7)

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Answer:

A = 5

B = -13

C = 7

Step-by-step explanation:

The general formula of quadratic equation is ax^2+bx+c.

Step-by-step explanation:

you tu tubless

ar vi ing

..............

Answer:

K= J-5

Step-by-step explanation:

Answer:

K=J-5

Step-by-step explanation:

First we have K+5=J, but we need to find K.

Move K to the other side of the equation, change the sign to subtraction, the opposite of addition, and there you have it!

K=J-5

Hope this helps!

--Applepi101

whole part = 3

fractional part = 7/8

===========================================================

Explanation:

1/2 = 4/8

So the mixed number 2 & 1/2 is the same as 2 & 4/8

Adding on 1 & 3/8 will mean the fractional portions add to 4/8+3/8 = 7/8 and the whole number portions add to 2+1 = 3

Overall, the total amount eaten is 3 & 7/8 pounds

Answer:

27 1/8 pounds

Step-by-step explanation:

2.5 multiplied by 7 would be 17.5 and 1 and 3/8's by 7 would be 7 multiplied by 3 = 21/8 which would be 9 and 5/8's added up with the first 7 pounds

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

used socratic

Answer:

(13+30c)/10

Step-by-step explanation:

Given the expression;

1/2 + 3c + 4/5

Find the LCM

= 5(1)+10(3c)+2(4)/10

=  (5+30c+8)/10

= (13+30c)/10

Hence the required sum is (13+30c)/10

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

wala muna akung ma explantion hahah sore

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

Answer:

-$12

Step-by-step explanation:

Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.

63+75+9+41+85-285= -$12

Answer:

The correct solution is "10.92 meters".

Step-by-step explanation:

The given values are:

Center of the mirror,

= 1.22 meters

Base,

= 7.32 meters

Samantha's eye,

= 1.82 meters

Let the height of the building will be "x".

Now,

The height of the building will be:

⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]

By applying cross-multiplication, we get

⇒    [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]

⇒       [tex]=\frac{13.322}{1.22}[/tex]

⇒       [tex]=10.92 \ meters[/tex]

Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

Answer:

qustion number 1 the last one .

qustion number 2 the first one .

Answer:

using pythagoras theorem

hyp 2=opp 2+adj 2

=( √6)(√6)+(√7)(√7)

hyp 2=13

hyp=√13

Given:

A right angle triangle with legs [tex]\sqrt{6}[/tex] cm and [tex]\sqrt{7}[/tex] cm. The length of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Using the Pythagoras theorem, we get

[tex]x^2=(\sqrt{7})^2+(\sqrt{6})^2[/tex]

[tex]x^2=7+6[/tex]

[tex]x^2=13[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{13}[/tex]                  [Because side length is always positive]

The measure of hypotenuse is [tex]\sqrt{13}[/tex] cm.

Therefore, the correct option is B.