help me find the size of the rhombus :)

Help Me Find The Size Of The Rhombus :)

Answers

Answer 1

Answer:

Step-by-step explanation:

The diagonals of a rhombus divides it into four congruent right triangles.  Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°


Related Questions

The circle below has center H. suppose mIJ=84. What is mIGL

Answers

Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

Consider the polygon shown. Determine the value of y.
67
75

Answers

Answer:

70 degrees

Step-by-step explanation:

It's a right angle and have angles. The polygon is 5 sides. It's 540 degrees.

It's complementary.

Step-by-step explanation:

i don't know but i think it 157 because:

180-67=113

113-90=23 x

180-23-75=82 y

hope u can understand this

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

Please show me 3+2 (2x - 4) and can you please show the work?

Answers

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?

Answers

Answer:

Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?

Step-by-step explanation:

2,500,000 $ worth of merchandise

What transformation has taken place on the coordinate grid pleaseee help my final! I'll give rate and heart etc​

Answers

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

a tablet is on sale for 30% off. the regular price is $185. how much money will you save?

Answers

Answer:

185×30÷100=55.5

HERES YOUR answer

Type the correct answer in the box.

Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)

The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.

Answers

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

Given the building layout for Store A, Store B, Store
C, and Store D, what portion of the shared $6000
security costs should be apportioned to Store B if store A is 2500ft^2, store B is 625ft^2, store C is 625^2, and store D is 2500ft^2

Answers

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6250

625/6250=.10 or 10%

6000 x .10=600

Store B should be apportioned $600 of the shared $6000 security costs.

To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.

[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]

[tex]Total square footage = 6250ft^2[/tex]

Now, let's calculate the proportion of Store B's square footage to the total square footage:

[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]

Now, find the proportion in decimal form:

[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]

To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:

Portion of security costs for Store B = Proportion of Store B * Total security costs

[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]

Therefore, Store B should be apportioned $600 of the shared $6000 security costs.

To know more about security:

https://brainly.com/question/32133916

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The blue dot is at what value on the number line? ​

Answers

Answer:

The blue dot is at 3.

provide explanation too please !


a piano teacher teaches 8 lessons in 6 hours.
the lessons are all the same length.
how long is one lesson, in minutes?

Answers

1 hour is 60 minutes

6 hours x 60 = 360 total minutes

Divide total time by number of lessons:

360/8 = 45

Each lesson was 45 minutes

solve for the missing sidebof the triangle shown in the figure​

Answers

Answer:

∠B = 74°

a ≈ 14.5 inches

c ≈ 11.4 inches

Step-by-step explanation:

The given parameters of triangle ΔABC are;

∠A = 62.2°, ∠C = 43.8° and side [tex]\overline{AB}[/tex] = b = 15.8 in

By sine rule, we have;

[tex]\dfrac{a}{sin(\angle A)} = \dfrac{b}{sin(\angle B)} = \dfrac{c}{sin(\angle C)}[/tex]

[tex]a = {sin(\angle A)} \times \dfrac{b}{sin(\angle B)}[/tex]

By angle sum property, we have;

∠B = 180° - (∠A + ∠C)

∴ ∠B = 180° - (62.2° + 43.8°) = 74°

∠B = 74°

[tex]\therefore {a} = {sin(62.2^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 14.5[/tex]

a ≈ 14.5 in.

[tex]c = {sin(\angle C)} \times \dfrac{b}{sin(\angle B)}[/tex]

[tex]\therefore {c} = {sin(43.8^{\circ})} \times \dfrac{15.8}{sin(74^{\circ})} \approx 11.4[/tex]

c ≈ 11.4 in.

Don't forget! If you multiply or divide by a negative number, you must
flip the inequality symbol!

I need help with these 2 and ignite the 5 and 6 it’s the question number

Answers

Answer:

c > 20

make a number line that starts with the number 16 and ends with 22.

on the number 20 circle it (don't fill in the circle).

then draw an arrow to the right on top of the circle that you circled.

Step-by-step explanation:

Need help seriously

Answers

It’s not hard bro you gotta lean probability it’s really easy

Answer:

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

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.

Answers

Answer:

D and x=11.55

Step-by-step explanation:

Find the median of the data.
The number of girls per classroom.
11, 3, 1, 12, 5, 3, 2
Median: [?] girls
oto

Answers

Answer:

3

Step-by-step explanation:

To find the median, first we have to put the data in ascending order:

1, 2, 3, 3, 5, 11, 12

The median is the middle number. In this case, that is 3.

The median of the data "The number of girls per classroom" which has values as 11, 3, 1, 12, 5, 3, 2 is 3.

To find the median of the given data, we first need to arrange the numbers in ascending order:

1, 2, 3, 3, 5, 11, 12

The median is the middle value when the data is arranged in ascending order. In this case, since the total number of data points is odd (7 data points), there is one middle value. The median is the fourth value in the ordered list, which is 3.

The median is a measure of central tendency that represents the middle value in a dataset. It is often used to describe the typical or central value of a set of data and is particularly useful when dealing with skewed distributions or outliers.

In this case, the median of 3 tells us that, when sorted in ascending order, the middle value of the number of girls per classroom is 3, which gives us an indication of the central tendency of the data.

To learn more about median click on,

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the expression -7y is called what

Answers

Answer:

called "pi".

Step-by-step explanation:

please help!! I'm really confused

Answers

Answer:

(0,-4)

Point B is on (0,-4)

Hope this helped :)

On the graph shown, what is f(-2)

Answers

Answer:

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

Subtract (7x-3) from (5-3x)​

Answers

(5-3x) - (7x-3)
distribute the negative sign and remove parentheses
5 - 3x -7x + 3
combine like terms
FINAL ANSWER: -10x+8
Answer: 10x - 8

If this is right please mark brainliest

What is the value of y?

16
50
130
164

Answers

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

Answer:

C. 130

Step-by-step explanation: Hope it helps ^w^

simplify and expand the equation below
7(2-x)-(x-3)​

Answers

Answer:

- 8x + 17

Step-by-step explanation:

7(2 - x) - (x - 3)​

14 - 7x - x + 3

- 8x + 14 + 3

- 8x + 17

can I please can some help on this question ​

Answers

Answer: The answer be 87 for both answer's

Step-by-step explanation:

because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)

I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?

Answers

Answer: -7y = 21

explanation:

x+y=2;3x−4y=27

Step: Solve x+y=2 for x:

x+y+−y=2+−y (Add -y to both sides)

x=−y+2

Step: Substitute −y+2 for x in 3x−4y=27:

3x−4y=27

3(−y+2)−4y=27

−7y+6=27 (Simplify both sides of the equation)

−7y+6+−6=27+−6 (Add -6 to both sides)

−7y=21 (answer)

first option

manipulate line 1 to

x = 2 - y

then substitute x in line to for the righthand side above

then solve towards y.

D equals f plus fx, solve the equation for x

Answers

Answer:

question says D = f + fx,

then,

D = 2fx

so,

D/2f = x

Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.

Answers

Answer:

3(y+7)=2

Step-by-step explanation:

Please show the steps. and the answer

Answers

Answer:

$321562.50

Step-by-step explanation:

Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.

To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus

[tex]105000 = 60000(1+r)^{48}\\[/tex]

To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in

[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]

Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.

Our final value is then

[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)

1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit

Answers

I would say probably A

sin(A+B-C) find the equation​

Answers

Answer:

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

Step-by-step explanation:

Given:

Sin (A + B - C)

Find;

Expansion of given expression

Computation:

Sin (A + B - C)

Sin [(A + B) - C]

Sin(A + B)CosC - Cos(A + B)SinC

[SInACosB + CosASinB]CosC - [CosACosB - SinASinB]SinC

SInACosBCosC + CosASinBCosC - CosACosBSinC - SinASinBSinC

[SInA][CosB][CosC] + [CosA][SinB][CosC] - [CosA][CosB][SinC] - [SinA][SinB][SinC]

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

line AB
line CD
line FG
line HJ

Answers

Answer:

fg

ur welcome and im out

Step-by-step explanation:

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