Classify this triangle by its sides and angles.

Answer:

Step-by-step explanation:

[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]

Given:

EFGH is a square.

To find:

The [tex]m\angle FHG[/tex].

Solution:

We know that all interior angles of a square are right angles.

[tex]m\angle EHG=90^\circ[/tex]              (Right angle)

The diagonals of square are always the angle bisectors.

FH is a diagonal of the square. So, it bisects the angle EHG.

[tex]m\angle FHG=\dfrac{m\angle EHG}{2}[/tex]

[tex]m\angle FHG=\dfrac{90^\circ}{2}[/tex]

[tex]m\angle FHG=45^\circ[/tex]

Therefore, the measure of angle FHG is 45 degrees.

Answer: $39

Step-by-step explanation:

i=prt

(1200)(.065)(.5)=39

Answer:

255.75 feet or 255[tex]\frac{3}{4}[/tex] feet

Step-by-step explanation:

area of a rectangle / length = breadth

1023 / 4 = 255.75 or 255[tex]\frac{3}{4}[/tex] feet

Answer:

9

Step-by-step explanation:

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be x and the number of student tickets sold be y.

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850

Answer:

None of the above

14 = 3x -7

3x = 21

x = 7

Answer:

It's a right angle, so 90 degrees

Step-by-step explanation:

The tangent line is always perpendicular to the radius that goes to the tangental point.

Answer:

y = 90°

Step-by-step explanation:

because when a line is tangent to a circle, a radius to that point forms a 90° angle.

Should be 8 since it's symmetrical

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not attached.

However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores

To answer this question, I will make use of the attached box plot.

IQR is calculated as:

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

[tex]Q_1[/tex] and [tex]Q_3[/tex] are represented by the vertical edges of the rectangle in the box plot. [See attachment]

Reading [tex]Q_1[/tex] and [tex]Q_3[/tex], we have:

[tex]Q_1 = 37[/tex]

[tex]Q_3 = 50[/tex]

The IQR is:

[tex]IQR = 50 - 37[/tex]

[tex]IQR = 13[/tex]

Hence, the range that describes the middle 50% of the attached plot is 13

Answer:

4/8 po lahat

Step-by-step explanation:

carry on learning

Answer:

C

Step-by-step explanation:

The triangle follows the pattern:

45 - 45 - 90

x   -   x  -  xsqrt(2)

Since you already have the hypotenuse (90), you need to divide by sqrt(2) to get the legs.

[tex]\frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2}[/tex]

Answer:

C

Step-by-step explanation:

hope this helps:))))))))))

Answer:

Step-by-step explanation:

C

You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3tZxaCQ

Answer:

2396

Step-by-step explanation:

29,950 *0.08=2396

Answer:33%

Step-by-step explanation:

Answer:

33%

Step-by-step explanation:

I hope it helps!!:)

Answer:

A

Step-by-step explanation:

hope this helps and is right :)

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

(0,-1) and (4,-4)

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I just got it.

Answer:

diagonal = 35.4

area = s²

√625 =  25

side = 25

diagonal² = 25² + 25² = 625 + 625 = 1250

diagonal = √1250 = 35.4

Answer:

C

Step-by-step explanation:

Answer:

∠F = 36.1°

Step-by-step explanation:

tan(x) = [tex]\frac{O}{A} = \frac{3.5}{4.8}[/tex]

x = [tex]tan^{-1} (\frac{3.5}{4.8})[/tex] = 36.1°

Answer:

WOW

Step-by-step explanation:

Answer:

[tex]90 {ft}^{2} [/tex]

is the area of this fig

Answer:

11.18

11.2

Step-by-step explanation:

hope it helps

Answer:

ok

Step-by-step explanation:

ok

Answer:

A. 3.7 meters

2.4 length• Width = 8.8 area

Width= 8.8/2.4=3.7

Step-by-step explanation:

Answer:

It’s company- 2 and 4

External- 1 and 3

Step-by-step explanation:

its right

Answer:

no u can not make another quadrilateral