X, Y and Z form the vertices of an isosceles triangle.
XY = 8.7m, YZ = 13.8m.
Find the angle
∠
XYZ rounded to 1 DP.

Answer:

Step-by-step explanation:

This is basically a vocabulary question. Angle pairs around a transversal crossing a pair of parallel lines all have names. Those names are used to refer to different theorems about the relationships of the angles to each other. Once you understand the words being used, the vocabulary is easier to remember.

Angles formed where one line crosses another form a linear pair if they share a side and the non-shared sides are opposite rays. If they share a vertex, but not a side, they are vertical angles. The angles of a linear pair are supplementary: they total 180°. Vertical angles are supplementary to the same angle, so vertical angles are congruent. These relations hold anywhere lines cross.

__

Where a single line crosses two (parallel) lines, that line is called a "transversal". Four angles will be formed at each intersection. Some of those angles are between the (parallel) lines, so are referred to as interior angles. The ones that are not between the (parallel) lines are referred to as exterior angles. The angles are alternate if they are on opposite sides of the transversal, and they are consecutive, or same-side if they are on the same side of the transversal.

Angles that lie in the same direction from the crossing point (to the northeast, for example) are corresponding angles.

__

In your figure, we can identify the following pairs:

The theorems referenced above will tell you if and only if the lines are parallel ...

____

Using the above, we find the answers to your questions to be ...

  1. (a, f) - corresponding angles (b)

  2. (b, h) - alternate interior angles (a)

  3. (h, g) - vertical angles (d)

  4. (c, g) - alternate exterior angles (c)

  5. (a, c) - supplementary angles (e)

  6. (e, i) - corresponding angles (b)

_____

Additional comment

In the above, we put (parallel) in parentheses, because these same definitions apply where the crossed lines may not be parallel. The relevant angle relationships can be used to determine if the lines are parallel or not. For example, if "corresponding" angles are congruent, the lines will be parallel. If "consecutive interior" angles do not total 180°, the lines cannot be parallel.

These same relationships hold in geometric figures, such as rectangles, trapezoids, parallelograms. For example, each side of a parallelogram is a transversal crossing a pair of parallel lines (the adjacent sides). Sometimes, you're asked to prove particular angle relationships in these figures. You can often do so by making use of the angle theorems related to parallel lines.

Answer:

12x+2

Step-by-step explanation:

Multiplication

Answer:

13

Step-by-step explanation:

we are looking for 2/3 of 15

15/3=5

5+5=10

10=2/3 of a quarter

2/3+3

10+3=13

Answer:

Step-by-step explanation:

Let number of chocolate cakes = c

Number of lemon cakes = l

Total cakes = 27

c + l = 27 ---------------(I)

Total slices = 170

7c + 6l = 170  ---------------(II)

Multiply equation (i) by (-7) and then add. So, c will be eliminated and we can find the value of  l

(I) * (-7)        -7c - 7l = -189

(II)                7c + 6l = 170     {Now add}

                         - l    = -19

l = 19

Plugin l = 19 in equation (I)

c + 19 = 27

c = 27 - 19

c = 8

Number of chocolate cakes = 8

Number of lemon cakes = 19

Answer:

46.482 ml

Step-by-step explanation:

381 x 12.2% =

381 x   .122 = 46.482

The given expression is irreducible or prime in nature.

Given expression is

[tex]3x^2+x+7[/tex]

The discriminant tells us whether there are two solutions, one solution, or no solutions.

Since Discriminant of this quadratic function is,

[tex](1)^2-4*3*7=-83[/tex] , negative

So factors without imaginary terms are not possible.

Thus given expression is irreducible or prime in nature.

To get more about factors refer to,

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Answer:

11

Step-by-step explanation:

Plugin the value of c =  4 &  d = 18 in the expression.

[tex]d-\dfrac{28}{c}=18-\dfrac{28}{4}\\\\\\=18 - 7\\\\= 11[/tex]

Hello! In order to solve the first problem, you need to know the properties of a rhombus.

Some basic rules that apply to the problem you should know are:

To be congruent, line segments must be equal in length. The same rule applies to angles, they must be of equal measure.

This being said,

1. HT is congruent to MA

2. ST is congruent to MS

3. AMH is congruent to ATH

4. If angle MHT is 80 degrees, than angle MAT is 80 degrees as they are vertical (opposite) angles. This means they are always congruent.

5. If line MH = 9, then due to congruency AT must equal 9.

A square is 360 degrees. Every line is equal, every angle is equal.

There are four right angles in a square. A right angle equals 90 degrees.

Since every line has the same length, they are all congruent.

1. True

There are no angles less or more than 90 degrees in a perfect square.

2. False

KD and IN are not perpendicular since they do not intercept. They are parallel.

3. False

Every angle in a perfect square is 90 degrees.

4. True

You can draw out lines to get a better perception of KN and ID. They are congruent due to properties of a square.

5. True

Answer:

149.5

Step-by-step explanation:

if im wrong then dam.n

Answer:

y = 3/2 x 3 or y = 3 x 3/2

Step-by-step explanation:

Step-by-step explanation:

place a point on 3 on the y-axis. From that point raise up 3 and 2 to the right qn place a point. Connect the two lines together to get your answer

Answer:

C.

Step-by-step explanation:

Multiply both sides by 15, which gives you r≥-75

Since the graph has to go in the direction of numbers greater than -75, that would be -74, -73, -72, etc. So, it is C.

Answer:

They will have 7 full bags of apples.

Step-by-step explanation:

if you divide the 98 apples into groups of 14 you will have 7 groups (bags) of apples.

Cube has all six faces as square. The surface area of the outside of one of the bins is 13.5 m².

The surface area of the cube is the sum of the area of all the sides of the cube. All the six sides of the cube are made of the same size square, therefore, the surface area of the cube is 6s², where s is the length of its single side.

As it is given that the melons are kept in cubic bins whose top is closed, therefore, the cubic bin will have all six sides, with the length of the side as 1.5m.

We know the formula for the surface area of the cube, therefore, the surface area of the cubic bin is equal to the surface area of the cube with side 1.5m,

[tex]\text{Surface area of the cube} = 6s^2[/tex]

                                     [tex]= 6(1.5)^2\\\\= 6 \times 2.25\\\\=13.5\rm\ m^2[/tex]

Hence, the surface area of the outside of one of the bins is 13.5 m².

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Answer:

55.8507

Step-by-step explanat

55.8507 is the answer

hope i helped ;D

Answer:

B: Acute

Please make me brainiest

Answer:

B) ∠B

Step-by-step explanation:

We'll name the given acute angle as either ∠ABC or ∠B. This is because, 'B' is the vertex of the given angle, i.e., AB & AC share the same common point → 'B'. Hence, ∠B is the correct option.

Hope it helps ⚜

The lower bound of this interval is 51.08, and the upper bound is 58.92.

Given:

Mean = 44

Standard deviation = 9

n = 36

The formula for the confidence interval of the sample mean:

Confidence Interval = [tex]X \pm z * (\sigma / \sqrt n)[/tex]

For a 95% confidence level, the z-score is approximately 1.96.

Plugging in the values into the formula, we have:

Confidence Interval = 44 ± 1.96 * (9/ √36)

                                 = 44 ± 1.96 * (9/ 6)

                                 = 44 ± 1.96 * 1.5

                                 = 44 ± 2.94

Therefore, the symmetrical interval that includes 95% of the sample means is (46.94, 41.06).

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Consider the word phrase "2 apples". This is the same as "2 of apples". Mathematically you could write: 2×apples or even 2a.This is exactly the type of thing you have when you write:6(−5n+7)This is the same as:  6of (−5n+7)Lets write this out in full:(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7) (−5n+7)Write this as: (−5n−5n−5n−5n−5n−5n)(7+7+7+7+7+7) As you can see, we have 6 of each Giving[−(6×5)×n]+[6×7]=−30n+42

Answer:

840 cups

Step-by-step explanation:

600x 0.4 = 240 (40% of 600)

600+240 = 840

Answer:

the bakery used 840 cups of sugar this month

Step-by-step explanation:40% of 600 is 240

600+240 is 840 so your answer is 840

Step-by-step explanation:

Simplify for m by using algebra.

Divide each side by 3:

[tex] \frac{3m}{3} = \frac{0.95}{3} [/tex]

[tex] m = \frac{19}{60} [/tex]

Answer:

the answer is -5 because of the addition of the numbers

Answer:

Hope this settles it for ya! XD

Step-by-step explanation:

g'day all!

The quantity of heat absorbed by the water is 156,750 J.

The quantity of heat absorbed by the water is calculated as follows;

Q = mcΔθ

where;

Q = 500 x 4.18 x (100 - 25)

Q = 156,750 J

Thus, the quantity of heat absorbed by the water is 156,750 J.

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Answer:

A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x

The value of angle 7x+6

we know that ,

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles of the triangle.

so,

[tex]7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10[/tex]

so ,the measure of green angle would be

[tex]7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76[/tex]

To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)

so,

[tex]7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified[/tex]

Solution:

Note that:

Simplify the equation to find x.

Substitute the value of x into the measure of the green angle.

The measure of the green angle is 76°.

Answer:

9+(4x2)*8+3^4(5^7)

Step-by-step explanation:

Answer:

The Collatz Conjecture. Dave Linkletter. ...

Goldbach's Conjecture  Creative Commons. ...

The Twin Prime Conjecture. ...

The Riemann Hypothesis. ...

The Birch and Swinnerton-Dyer Conjecture. ...

The Kissing Number Problem. ...

The Unknotting Problem. ...

The Large Cardinal Project.

Step-by-step explanation:

V = π r² h

= 3.14 × 8 × 8 × 15

= 3014.4 cm³

Answer:

x = 18.5

Step-by-step explanation:

sin0 = opp/adj

tan51 = x/15

tan51 • 15 = x

18.5 = x

Answer: 2 1/6

Step-by-step explanation: 13 divided by 6

Answer:

Step-by-step explanation:

Add the cost of the start fee with membership for 'M' months ans the video streaming service for 'M' months

Total cost = startup fee + cost of membership fee for 'M' months + cost of video streaming fees for 'M' months

C = 5 + 9.95M + 7.99M

C = 5 + 17.94M