Mathematics High School

1. Given that ABCD is a rhombus with ∠DBC=49∘, what is ∠DAB?
A. 82 degrees
B. 90 degrees
C. 49 degrees
D. 98 degrees

2. In a rhombus FGHJ, m∠JKF=(3y+6)∘ and m∠KFG =(7y−14)∘. Find the value of y?
A. 20
B. 10
C. 8
D. 5

Answers

Answer 1

Answer:

1). Option (A)

2). Option (D)

Step-by-step explanation:

1). We will use two properties of the rhombus,

   - Diagonals of a rhombus are perpendicular and bisect each other.

   - Diagonals of a rhombus bisect the opposite angles.

From the figure attached,

    m∠DBC = 49° [Given]

    m∠DBA = 49° [m∠DBC = m∠DBA]

    In ΔAOB,

    m∠AOB + m∠OBA + m∠BAO = 180° [Triangle sum theorem]

    90°+ 49° + m∠BAO = 180°

    m∠BAO = 41°

    Since, m∠DAB = 2(m∠BAO)

                              = 2(41°)

                              = 82°

Option (A) will be the answer.

2). From the figure attached,

    m∠JKF = (3y + 6)°

    m∠KFG = (7y - 14)°

    Since, m∠JKF ≅ m∠KFG

    (3y + 6) = (7y - 14)

    7y - 3y = 6 + 14

    4y = 20 ⇒ y = 5

    Option (D) will be the answer.

1. Given That ABCD Is A Rhombus With DBC=49, What Is DAB?A. 82 DegreesB. 90 DegreesC. 49 DegreesD. 98

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Answer:

x+2is your answer. thanks

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x+2 :)

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Step-by-step explanation:

Here, we want to get the value of angle DEF

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.......................​

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Answer:

1

Step-by-step explanation:

6+6=12

12/12=1

Step-by-step explanation:

= 6+ 6÷12

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hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

10)
55°
+ 82
1 + 61
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C) 40°
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Answers

This isn’t possible even the sides without the X don’t add up to 180°

HELP QUICK!! solve by substitution and show work please

Answers

Sorry for my handwriting
X=1
Y=-2

Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage?​

Answers

Using the Empirical Rule, it is found that there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean height of 76 inches and a standard deviation of 4.7 inches, hence 71.4 and 80.7 inches is within 1 standard deviation of the mean, that is, there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.

To learn more about the Empirical Rule, you can take a look at https://brainly.com/question/24537145

What the area of the triangle!


need help with these question would mean a lot

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heyy I don’t think your pictures are loading it just shows grey

I need help with this problem​

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Answer:

(3,4)

Step-by-step explanation:

Because that's where the two lines intersect.

Answer:

(3, 4)

Step-by-step explanation:

We have a graph with two intersecting lines.

When this question about the solution to the system comes up, to find the answer, you look at the point both lines are intersecting at.

Therefore, look at the graph.

I need help asap, I'll give brainliest if its correct #34 points!

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Answer:

a

Step-by-step explanation:

Answer:

A, (-2,-5)

Step-by-step explanation:

mark (√) if the given relation is afunction and (x) if not.

HELLPPLLLLL​

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Please helpp i will mark brainliest!

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A) 88 cm

Step-by-step explanation:

set up a proportion:

180 / h = 45 / 22

cross-multiply:

45h = 3960

h = 88

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Answers

The slope of the line would be 3/2 because the slope formula would be y2-y1/x2-x1 so 3-0=3 and 4-2=2 so 3/2

Hope this helps

Have a great day/night

Feel free to ask any questions

95 POINTS FOR AWNSER
Read this word problem.
In the morning, the temperature was
–
10°C. By the afternoon, it had risen to
–
2°C. What was the change in temperature from the morning to the afternoon?
To solve the problem, Luke subtracted
–
2–(
–
10) and came up with an answer of 8°C. Is Luke correct? Why or why not?

Answers

Answer:

[tex]yes \: he \: is \: correct \\ \underline{\boxed{(\triangle{ \delta}) = 8}}[/tex]

Step-by-step explanation:

[tex]change \: in \: temp. \: ( \triangle{ \delta}) = t_2 - t_1 \\ hence \to \\( \triangle{ \delta}) = (- 2) - (- 10) \\ (\triangle{ \delta}) = - 2 + 10 \\ (\triangle{ \delta}) = 10 - 2 \\ (\triangle{ \delta}) = 8[/tex]

Answer:

No

Step-by-step explanation:

Luke only does it mathematically, he didnt bothet to check first by following step by step explanation

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Answer:

Desmos dot com

Click graphing calculator and there you go

Step-by-step explanation:

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I think this is what you looking

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1/100

Step-by-step explanation:

1/100
Hopefully it’s right.

please help! will mark brainliest if you're correct! Need help ASAP

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B is the closest i got to it

Step-by-step explanation:

Answer:

4187 ft^3

Step-by-step explanation:

10^3=1000

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I need help ASAP !!!!!!

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Answer: ask somone else  i a'm not good at these one

Step-by-step explanation:

3. Find the measure of the sides of the triangle if the vertices of AEFG are E
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Answers

The triangle EFG is an isosceles triangle as side EF is congruent to side EG.

How to determine a triangle according to its sides

In this question we have a triangle whose vertices are known. We need to define the figure according to the congruency among its sides. Two sides are congruent when both have the same length. There are three kinds of triangles:

Scalene - Three sides of different length.Isosceles - Two sides of equal length.Equilateral - All sides are of equal length.

Sides are formed each pair of vertices. The length of each side can be found by means of Pythagorean theorem:

l = √[(Δx)² + (Δy)²]

First, write the locations of the vertices:

E(x, y) = (1, 4), F(x, y) = (5, 4), G(x, y) = (1, 0)

Second, determine the length of every side of the triangle:

EF = √[(5 - 1)² + (4 - 4)²]

EF = 4

FG = √[(1 - 5)² + (0 - 4)²]

FG = √[4² + (- 4)²]

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By direct comparison, we conclude that the triangle EFG is an isosceles triangle.

To learn more on isosceles triangles: https://brainly.com/question/10147636

#SPJ1

A bus travels 12 miles west and 16 miles south from its original location. How far is the bus from the original location?

Answers

Answer:

28 miles.

Step-by-step explanation:

12 + 16 = 28

Hope this helps and sorry if wrong!

Answer:

28 miles hope this helps have a nice day please gibe me brainliest :))

Step-by-step explanation:

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Step-by-step explanation:

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True

good luck, hope this helps :))

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True

Step-by-step explanation:

Pretty sure comrade. Also let me know if not right. Hope this helps

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Answer:

no

Step-by-step explanation:

im smart

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

y = -2x +20

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6x - 5( -2x +20 ) = 12

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Do mark me as brainly. THANKS

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Answers

Answer:

y = 10x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Answer:

y = 10x + 8

Step-by-step explanation:

Hope this will help

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Answers

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