If HI = IJ = 14 and GH = 12, what is HJ?​

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

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Answer:

B. 7x+2y

Step-by-step explanation:

[tex]49x^2+28xy+4y^2\\\\=(7x)^2+2\cdot 7x \cdot 2y + (2y)^2\\\\=(7x+2y)^2\\\\=(7x+2y)(7x+2y)[/tex]

Answer:

y=-x-3

Step-by-step explanation:

Answer:

Hope the picture will help

[tex]\frac{16}{7}[/tex]Answer:

X = -16/7

Step-by-step explanation:

Multiply the numbers

4 x 2 + 8 = -7x

8 + 8 = -7x

Add the numbers

8 + 8 = -7x

16= -7x

Divide both sides by the same factor

16= -7x

16 divided bu -7x and -7x divided by -7x

Simplify

-16 divided by 7 not negative 7 and -7 divided by -7

Cancel terms that are in both the numerator and denominator

cancel out -7 divided by -7 and you get -16/7 left

so, therefore x= -16/7

[tex] \qquad\begin{gathered} \begin{array}{ ||c|| c} \hline \\ \textsf { \huge{ \underline{lets\: \: solve}}} \\ \\ \: \: \sf6. \: \underline{ find \: measure \: of \: angle \: TSR}\: \: \\ \\ \textsf {As we know, diameter subtends 90° } \\ \textsf{ at an arc of same circle.} \\ \textsf{ hence we can conclude that :} \\ \\ \rm{ \therefore\angle \:TSR = 90 \degree } \\ \\ \\ \sf7. \: \underline{ find \: measure \: of \: angle \: subtended }\\ \: \underline{ \sf by \: arc \: ST \: at \: the \: centre \: of \: circle}\: \\ \\ \\ \textsf{Angle subtended by an arc at centre} \\ \textsf{ of the circle is double the angle} \\ \textsf{ subtended by the same arc on other } \\ \textsf{ part of circle, hence we can} \\ \textsf{conclude that :} \\ \\ \sf\angle SOT =2 \angle SRT \\ \\ \angle \sf SOT =2 \times 41\degree \\ \\ \sf \therefore\angle SOT = 82 \degree \\ \\ \\ \\ \hline \end{array} \end{gathered}[/tex]

Answer:

9

[tex]\rule{70mm}{2pt}[/tex]

Step-by-step explanation:

In statistics, the mode is the value that is repeatedly occurring or you can say that has higher frequency in a given set of numbers or values. For instance in (1, 2, 5, 6, 2, 3) mode is 2 because it has appeared in the given set twice.

As in the given problem, the cross represents the number of a particular number, indicating whether the given number is repeated or not. And if repeated, how many times?

→ 5, 6, 10 = 1 (number of repetition; each)

→ 7, 8 = 2 (number of repetition; each)

→ 9 = 3 (number of repetition)

Therefore, the mode for the given set of data is 9.

Answer:

y=-2x-2

Step-by-step explanation:

I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b

Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)

Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.

Answer:

18

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

So the missing side length is 18.

Step-by-step explanation:

Tan = Opposite/ Adjacent

Tan 50 = 100/Adj

Adj = 100/tan50

Similarly, Tan30 = Opposite/ Adjacent

Opposite = 100tan30

therefore X= 100/tan 50 - 100 tan30

Answer:

Length: 64

Width = 21 1/3

Step-by-step explanation:

Width = Length 64 * 1/3 Width

Width = 21.3333333 or 21 1/3

Answer:

[tex]l=64 in[/tex]

[tex]w=21.3333in[/tex]

Step-by-step explanation:

[tex]l=3w[/tex]

[tex]\frac{64}{3} =21.3333[/tex]

Answer:

half a circle

Answer:

Shirt= $5.50

Pant=$10

Step-by-step explanation:

Let's shirt be 'x' and pant be 'y'

=}. 3x + y = $26.50

4x + 2y = $42

=}. 3x + y = $26.50

2x + y = $21. ( then first term minus

second term )

=}. x = $ 5.50

Now, y = $26.50 - 3x

= $26.50 - 16.50

= $10

Answer:

Area is very commonly used in our world we just may not immediately recognize it. Most if not all construction workers use area to figure out how much Sq feet they have to work with. When decorating your home you need to know how much space is in each room. When installing carpet or hardwood you'll need to figure out the area of your room.

Hopefully this helps!  

12.985 rounded to 2 decimal places is 12.99

Answer:

Step-by-step explanation:

Step 1:

Identify the digit in the hundredths place, as it is the 2nd decimal place.  The 8 is the digit in the hundredths place.

Step 2:  

Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.

Step 3:

The new number is 12.99 rounded to the 2nd decimal place.

Answer:

letter c the BD= 10

Step-by-step explanation:

Answer:

BD=10

Step-by-step explanation:

1. BAD=BCD=60

Therefore

BA = BC (sides opposite to equal angles are equal)

BA=20

Therefore BC=20

2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)

60+60+ABC=180

ABC=180-120

ABC=60

ABC=BAC=BCA

Therefore ABC is an equilateral triangle

AC=20

4. AC=AD+DC

AD=DC (BD is a perpendicular bisector)

Therefore

AC=2×AD

AC=20

20=2×AD

AD=20÷2

AD=10

Hope this helps!

What is I C T computer SCHOOL hi zip am SC 9

Step-by-step explanation:

Different means to minus, so minus 2 from 6. Which gives you the answer 4.

Apply Pythagorean theorem

Now

Again apply Pythagorean theorem

Answer:

the final answer for this problem is √3

Answer:

c=98.92

Step-by-step explanation:

first I figured out the number of years between 1990 and 2014.I basicly just subtracted 1990 from 2014 then times it by 2.85 the added 30.52

The cost in billions of dollars in​ 2014 would be 98.92

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that national cost C in billions of dollars for dental services can be modeled by the linear equation c=2.85n+30.52​, where n is the number of years since 1990.

Then c=2.85n+30.52

Solving then subtracted 1990 from 2014

2014 - 1990

= 24

Now

c = 2.85 (24) +30.52

c = 68.4 +30.52

c = 98.92

Hence,  the cost in billions of dollars in​ 2014 would be 98.92

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

3.3 and -0.3

Step-by-step explanation:

Using the quadratic formula plug in the a, b, and c values in this equation into the formula and you get 3.3 as a result. Not sure where the 0.3 part came from since it is not the opposite equation, but 3.3 is for sure correct. Work is linked below.

The rectangular base area is the space the rectangular base occupies

The area of the rectangular base is 60 square inches

The diagram is not given. So, I will apply provide a general solution.

Using the similar shapes concept, the area of the rectangular base can be represented as:

Ratio = Height : Area

This gives

3 : 36 = 5 : Area

Express as fraction

36/3 = Area/5

Evaluate the quotient

12 = Area/5

Multiply both sides by 5

Area = 60

Hence, the area of the rectangular base is 60 square inches

Read more about areas at:

https://brainly.com/question/24487155

Answer:

4

Step-by-step explanation:

(12y2-2y+18)/(4y2-y+6)=3-2+3=4

Answer:

10

Step-by-step explanation:

distance = √(-6-2)^2+(-2-4)^2

Ans=10

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Substituting values ↦

[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]

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Answer:

Two terms ( [tex] x [/tex] and [tex] n [/tex])

Step-by-step explanation:

If simplified it gives 3n+4x+5

And cannot be factored

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

We're given the following expression:

[tex]\bigstar{\boxed{4x+3n+5}[/tex]

Here,

4x is a term

3n is a term

5 is a term

4 is the coefficient of x

x is a variable

3 is the coefficient of n

n is a variable

5 is a constant

Details:-

A coefficient is a number before a variable

A variable is a letter

A constant is a number without any variables next to it

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

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

The functions f(4x-3)≥f(2-x^2) and f(5-x^2)≥f(3x-5) are quadratic functions

The values of the inequalities are -5 ≤ x ≤ 1 and -5 ≤ x ≤ 2

Inequality 1: f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4)

The function increases at (-8,4).

So, we have:

4x - 3 ≥ 2 - x^2

Rewrite as:

x^2 + 4x - 2 - 3 ≥ 0

Evaluate the like terms

x^2 + 4x - 5 ≥ 0

Expand

x^2 + 5x - x - 5 ≥ 0

Factorize the expression

x(x + 5) - 1(x + 5) ≥ 0

Factor out x + 5

(x - 1)(x + 5) ≥ 0

Solve for x

x ≥ 1 or x ≥ -5

Rewrite as:

-5 ≤ x ≤ 1

Inequality 2: f(5 - x^2) ≥ f(3x - 5), Df=(-∞,4)

The function decreases at (-∞,4).

So, we have:

5 - x^2 ≥ 3x - 5

Rewrite as:

x^2 + 3x - 5 - 5 ≤ 0

Evaluate the like terms

x^2 + 3x - 10 ≤ 0

Expand

x^2 + 5x - 2x - 10 ≤ 0

Factorize the expression

x(x + 5) - 2(x + 5) ≤ 0

Factor out x + 5

(x - 2)(x + 5) ≤ 0

Solve for x

x ≤ 2 or x ≤ -5

Rewrite as:

-5 ≤ x ≤ 2

Hence, the values of the inequalities are -5 ≤ x ≤ 1 and -5 ≤ x ≤ 2

Read more about inequalities at:

https://brainly.com/question/11234618

Step-by-step explanation:

180 grams of flour is needed for 20 short bread biscuits to find how many floor is needed per biscuit we divide

since we are find the value of floor per shortbread biscuits we then multiply it by 60

[tex] \therefore [/tex] she needs 540g to make 60 short bread biscuit

~ Done~

probability : 1/3

Explanation:

probability = selected/total

Here,

E=Weightlifting bench

So

Answer: Number Sense – Understanding Quantity.

Representation – Using Symbols and Words to Represent Numbers.

Shapes and Spatial Relationships (Geometry)

Measurement – Comparing and Communicating about size.

Patterns – Recognizing and Making Patterns.

Problem Solving.

Step-by-step explanation: boom!