Find the missing angle measures in the given rhombus.

Find The Missing Angle Measures In The Given Rhombus.

Answers

Answer 1

Answer:

1 = 4 = 38°, 2 = 3 = 90°

Step-by-step explanation:

Because the diagonals of rhombi are perpendicular, ∠2 = ∠3 = 90°. Since the sum of angles in a triangle is 180°, ∠1 = 180° - 52° - 90° = 38°. If we look at the triangle with 1 and 4 as its base angles, we notice that it's an isosceles triangle, therefore ∠1 = ∠4 = 38°.

Answer 2

Answer:

Step-by-step explanation:

In rhombus, diagonals are perpendicular to each other.

∠2 = ∠3 = 90°

52° + ∠1 + ∠ 2 = 180°    { Angle sum property of triangle}

52 + ∠1 + 90 = 180

∠1 + 142 =  180

∠1 = 180 - 142

∠1 = 38°

∠4 = ∠1 = 38°  { Isosceles triangle}


Related Questions

32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?

A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50​

Answers

Answer:

The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt

Courtney constructed this figure using a compass with its width set equal to PR, the radius of the circle. She claims triangle PRS is equilateral because all three sides of the triangle are equal to PR. She also claims that applying the same argument to prove each triangle in the figure is equilateral proves that the inscribed hexagon is also equilateral. Which statement is true? A. Courtney's reasoning about triangle PRS is correct, but the hexagon is not equilateral. B. Courtney's reasoning about triangle PRS is correct, and the hexagon is equilateral. C. Courtney's reasoning about triangle PRS is incorrect, and the hexagon is not equilateral. D. Courtney's reasoning about triangle PRS is incorrect, but the hexagon is equilateral.

Answers

Answer:

B

Step-by-step explanation:

It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.

That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.

Both statements she makes are true and that makes B the answer.

A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³

Answers

Answer:

3.14

Step-by-step explanation:

3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?

Answers

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = [tex]\frac{3}{x-2}[/tex]

The degree of the numerator is zero 0 (  3[tex]x^{0}[/tex] )

The degree of the denominator is 1

Since the degree of denominator > degree of numerator.

Then there is a horizontal asymptote at y = 0

State the number of possible triangles that can be formed using the given measurements.

Answers

Answer:  39) 1              40) 2

                41) 1              42) 0

Step-by-step explanation:

39)     ∠A = ?        ∠B = ?       ∠C = 129°

            a = ?          b = 15         c = 45

Use Law of Sines to find ∠B:

[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]

If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°

If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°

Since ∠A cannot be negative then ∠B ≠ 165°

∠A = 36°        ∠B = 15°       ∠C = 129°       is the only valid solution.

40)      ∠A = 16°        ∠B = ?       ∠C = ?

             a = 15           b = ?         c = 19

Use Law of Sines to find ∠C:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]

If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°

If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°

Both result with ∠B as a positive number so both are valid solutions.

Solution 1:  ∠A = 16°        ∠B = 144°       ∠C = 20°    

Solution 2:  ∠A = 16°        ∠B = 4°       ∠C = 160°    

41)       ∠A = ?        ∠B = 75°       ∠C = ?

             a = 7           b = 30         c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]

If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°

If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°

Since ∠C cannot be negative then ∠A ≠ 167°

∠A = 13°        ∠B = 75°       ∠C = 92°       is the only valid solution.

42)      ∠A = ?         ∠B = 119°       ∠C = ?

             a = 34         b = 34           c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]

If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°

If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°

Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°

There are no valid solutions.

5. Use long division:
a. 483 ÷ 15
b. 907÷12​

Answers

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this claim is incorrect and find that a random sample of 14 similar vehicles has a mean price of $19,850 and a standard deviation of $1084. Is there enough evidence to reject the dealer's claim at a significance level (alpha) =0.05?

Answers

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

(07.02 MC)
An equation is shown below:
3(4x - 2) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 12x - 2 = 1; Step 2: 12x = 3
Step 1: 12x - 6 = 1; Step 2: 12x = 7
Step 1: 7x + 1 = 1; Step 2: 7x = 0
Step 1: 7x - 5 = 1; Step 2: 7x = 6

Answers

Answer:
Step 1: 12x - 6=1; Step 2: 12x = 7

At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?

Answers

Answer:

Hey there!

The ratio of ducklings to adult ducks is 5:1.

This means for every six ducks, five are ducklings and one is an adult.

If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.

Thus, there are 20 ducklings.

Hope this helps :)

Answer:

20 ducklings.

Step-by-step explanation:

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer:

E

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line

m = [tex]\frac{2-0}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

y = [tex]\frac{1}{4}[/tex] x → E

Answer:

y=1/4x

Step-by-step explanation:

because its the answer

2x2 − 5x + 3 HELPPPPPPPP

Answers

Answer:

-x+3

Step-by-step explanation:

2x^2-5x+3 Square 2x

4x-5x+3 combine like terms

-x+3

Hope this helps

Answer:

Factoring answer: (x-1)(2x-3)

Quadratic Formula: x = 3/2, 1

Complete the square: 2(x - 5/4)^2 - 1/8

Find the x and y intercept: X - (1,0), (3/2,0) Y - (0,3)

Hope this helps :)

Helpppppppppp pleasessssss

Answers

Answer:

A.

Step-by-step explanation:

When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.

The correct answer is D

how do you know if the solutions to a quadratic equation are inside, outside, on, inside and on, or outside and on the parabola??​

Answers

Answer:

Plug in the x and y values into the equation

Step-by-step explanation:

Gwen participates in an online rewards program.She earns points for completing surveys. Gwen earns 10 points for each survey she completes,and she wants to predict the total number of points that she will earn based on the number of surveys that she completes. Which quantities in this situation have more than one possible value? Choose All That apply.

The number of surveys Gwen completes.

The number of points Gwen earns for completing each survey.


The total number of points Gwen earns.

Answers

Answer:

Step-by-step explanation:

Hello,

For each survey that Gwen completes she earns 10 points.

So the number of points Gwen earns for completing each survey is 10 and there is only one value.

If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.

The number of surveys Gwen completes can have several values.

And then, the total number of points Gwen earns can have several values too.

So you need to choose

The number of surveys Gwen completes.

and

The total number of points Gwen earns.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

What is the slope of the line?
3(y - 1) = 2x + 2​

Answers

Answer:

The slope is 2/3

Answer:

2/3

Step-by-step explanation:

This is written in point slope form

y - y1 = m(x-x1)

3(y - 1) = 2x + 2​

Divide each side by 3

(y - 1) = 1/3(2x + 2)

Factor out a 2

(y - 1) = 2/3(x -  -1)

​​The slope is 2/3

Please Help asap!!! Please give explanation

Answers

Answer:

The answer is B CPCT

Step-by-step explanation:

In an isosceles triangle ΔHKJ with

Construct KM, a bisector of the base HJ.

to prove:

in ΔKHM and ΔKJM

bisects      [Given]

Segment bisectors states that a line or segment which cuts another line segment into two equal parts.

then, by definition of Segment bisector :

       [Given]

Reflexive property of congruence that any geometric figure is congruent to itself.

  [by definition of Reflexive property of congruence]

SSS(Side-Side-Side) Postulates states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

therefore, by SSS postulates

ΔKHM  ΔKJM

By CPCT [Corresponding Part of congruent Triangle]

         proved!

hope i helped

-lvr

Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answers

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

Please answer this in two minutes

Answers

Answer: 1080 degrees

Hoped this helped :)

Which graph represents the function f(x)=|x−3|+1 ?

Answers

Answer:

the first one (in quadrant 1, pointing upwards)

Step-by-step explanation:

since the function is positive the graph will be facing upwards and start off at 1

A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half

Answers

Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

3 3/8 divided by 9 =

Answers

Answer:

0.375

Hope this helps....

Have a nice day!!!!

Answer:

3/8

Step-by-step explanation:

Hey there!

[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]

[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]

= 3/8

Hope this helps :)

Evaluate A/B for a = 1/2 and b = -3/7

Answers

Answer:

-7/6

Step-by-step explanation:

If a = 1/2 and b = -3/7, then your given:

1/2 divided by -3/7=

-7/2*3=

-7/6

Sorry if its a bit unclears

Answer:

[tex]\frac{7}{-6}[/tex]

Step-by-step explanation:

To do this you are basically dividing the fractions so when you set up the equation it will look like this [tex]\frac{1}{2}/\frac{-3}{7}[/tex] now that we have this we will take the reciprocal of -3/7 which is 7/-3 and than multiply the 2 fractions we we get 7/-6

Determine the sum of the first 7 terms of the arithmetic sequence with
general formula t_n = -3n +7

Answers

Answer:

your answer is -35.

Step-by-step explanation:

let the first 7 terms be 1,2,3,4,5,6, and 7.

we have ,

general term t_n = -3n +7 ,then

t_1 = -3*1 +7

= -3+7

= 4

t_2 = -3*2 +7

= -6 +7

= 1

t_3 = -3*3 +7

= -9+7

= -2

t_4 = -3*4 +7

= -12+7

= -5

t_5 = -3*5 +7

= -15+7

= -8

t_6 = -3*6 +7

= -18+7

= -11

t_7 = -3*7 +7

= -21+7

= -14

Now, the sum of first seven terms is

4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)

= 5 -2 - 5 - 8 - 11 - 14

= -35

Answer:

-35

Step-by-step explanation:

Sum of the first 7 terms of AP is:

S_7= 1/2*7(t_1 + t_7)

As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:

t_1= - 3*1 + 7= 4t_7= - 3*7 + 7= - 14S_7 = 7/2*(4-14)= 7/2*(-10)= - 35

Answer is - 35

A 450m long field is drawn to a scale 1cm to 90cm.find the lenth of drawing

Answers

Answer:

5 cm

Step-by-step explanation:

The length of the drawing will be 450 / 90 = 5 cm.

A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.​

Answers

Answer:

6 to the north

Step-by-step explanation:

mark as brainliest

Angle 6 and 7, are complementary angles?

Answers

Answer:

Hey there!

Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

Hope this helps :)

Answer:

∠6 & ∠7 are not complementary angles

Step-by-step explanation:

∠6 & ∠7 are supplementary angles on a line

Write the following as an inequality:
y is no greater than 4 but more than -2.

Answers

Answer:

4>Y>-2 :) ..............

Answer:

[tex]\boxed{-2 < y \leq 4}[/tex]

Step-by-step explanation:

For y is no greater than 4, it would be either less than or equal to 4. So, the inequality for it would be:

y ≤ 4

Now, the inequality for y more than -2:

-2 < y

Combining the inequality:

-2 < y ≤ 4

I really need help with this, so could you help a little girl...?

Answers

Answer:

Option 3

Step-by-step explanation:

The curve goes infinitely downwards, so y is infinitely negative while x is limited at the y axis, or x=0 which is the asymptote.

Multiply using distributive property.

(2x-5)(4x2-3x+1)

PLEASE HELP!!! ASAP!!!

Answers

Answer:

33x-6x(square)-45

Step-by-step explanation:

(2x-5)(9-3x)

= 2x(9-3x) + -5(9-3x)

= 18x-6x(square) - 45+15x

= 33x-6x(square)-45

Answer:

8x^3 - 26x^2 + 17x - 5.

Step-by-step explanation:

(2x - 5)(4x^2 - 3x + 1)

= (2x * 4x^2) + (-5 * 4x^2) + (2x * -3x) + (-5 * -3x) + (2x * 1) + (-5 * 1)

= 8x^3 + (-20x^2) + (-6x^2) + 15x + 2x - 5

= 8x^3 - 26x^2 + 17x - 5.

Hope this helps!

Please answer it now in two minutes

Answers

Answer:

∠ I ≈ 60.3°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan I = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HG}{GI}[/tex] = [tex]\frac{7}{4}[/tex] , thus

∠ I = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60.3° ( to the nearest tenth )

the answer is 10 by root 65 so the answer is 10

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