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

Related Questions

I need help ASAP !!!!!!

Answers

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

Step-by-step explanation:

What the area of the triangle!


need help with these question would mean a lot

Answers

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

what fraction is shaded​

Answers

Answer:

1/100

Step-by-step explanation:

1/100
Hopefully it’s right.

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

Can someone please help me. If their correct I’ll make u brainiest.

Answers

Answer:

for a) it is arithmetic because you are adding 4 to each number

for b) it is geometric because you are multiplying previous numbers by 4

A: arithmetic
B: geometric
Hope it helps!!!!!

Find slope of a line using points (2,0) and (4,3)

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

Please helpp i will mark brainliest!

Answers

Answer:

A) 88 cm

Step-by-step explanation:

set up a proportion:

180 / h = 45 / 22

cross-multiply:

45h = 3960

h = 88

3. Find the measure of the sides of the triangle if the vertices of AEFG are E
(1,4), F(5, 4), and G(1,0). Then classify the triangle by its sides.

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]

FG = 4√2

EG = √[(1 - 1)² + (0 - 4)²]

EG = 4

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

what is x increased by 2 ?​

Answers

Answer:

x+2is your answer. thanks

Answer:

x+2 :)

Step-by-step explanation:

6) A model train is 7 in tall. If it was built
with a scale of l in: 3 ft, then how tall is
the real train?
A) 2 ft B) 21 ft
C) 10 ft D) I ft

Answers

id a is d than c is b butvthey arent equal so the answe is a

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

Answers

Answer:

a

Step-by-step explanation:

Answer:

A, (-2,-5)

Step-by-step explanation:

HELP QUICK!! solve by substitution and show work please

Answers

Sorry for my handwriting
X=1
Y=-2

look at this i think this boy likes me

Answers

Answer:

talk to him

Step-by-step explanation:

he def likes you lmazo

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

Answers

Answer:

B is the closest i got to it

Step-by-step explanation:

Answer:

4187 ft^3

Step-by-step explanation:

10^3=1000

4/3*3.15*1000~4187 ft^3

y > 2x – 5
Can you put this in a graph

Answers

Answer:

Desmos dot com

Click graphing calculator and there you go

Step-by-step explanation:

Answer:

I think this is what you looking

I recommend desmos or mathpapa

PLZ ANSWER THIS QUESTION!!!!

Answers

Answer:

C. Shape with 4 equal sides

Step-by-step explanation:

Shape with 4 equal sides

Old price was $72.00
New Price $38.16
What was the percent of
change?

Answers

pretty sure it’s 46.97%

work out the size angle DEF

Answers

Answer:

Step-by-step explanation:

Here, we want to get the value of angle DEF

we have this as ;

Angle DEF = 1/2 * DOF

1/2 * 150 = 75

This is because angle at the center is twice the angle at the circumference

Simple math true and false. not that hard. 11th grade math though

Answers

Answer:

True

good luck, hope this helps :))

Answer:

True

Step-by-step explanation:

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

10)
55°
+ 82
1 + 61
A) 520
C) 40°
B) 38°
D) 73°

Answers

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

hey!! what's

6+6÷12

.......................​

Answers

Answer:

1

Step-by-step explanation:

6+6=12

12/12=1

Step-by-step explanation:

= 6+ 6÷12

= 6+ 1/2

= 13/2

hope this will be helpful to you.

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

Do the ratios 20 /8 and 7 /3 form a proportion

Answers

Answer:

no

Step-by-step explanation:

im smart

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

HELLPPLLLLL​

Answers

I. Cannot be a function properly because if he straight line snot connecting in a full width but if you see has 2. Is a function so yes it is a mark

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

PLEASE ANSWER ASAP !!!

Answers

Answer:

the midpoint would be:(0,5)

Step-by-step explanation:

There is a line whose y-intercept is 8 and whose slope is 10. What is its equation in
slope-intercept form?

Answers

Answer:

y = 10x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 10 and c = 8 , then

y = 10x + 8 ← equation of line

Answer:

y = 10x + 8

Step-by-step explanation:

Hope this will help

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:

what is the area of a pentagon with the side length of 13 and apothem of 9?

Answers

Answer:

290.761

Step-by-step explanation:

I need help with this problem​

Answers

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.

plz help math question

Answers

Answer:

y = -2x +20

6x - 5y = 12

Put the value of y in 2nd equation

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

6x +10x -40 = 12

16x = 12 +40

16x = 52

x = 13/4

Putting the value of x in equation 1

y = -2x +20

y = -2(13/4 ) +20

y = 27/2

Do mark me as brainly. THANKS

Other Questions
How was ur day? good? or bad? Write 543 000 in standard form. banning of plastic straws and plastic coffee stirrers.What is the stand? I need help................... what are the effects of social problem in you family and society Ben has 6 children. He gives each child 2 - pies. How many pies does he neer). What is the volume of the triangular prism in cubic centimeters? A- 1,360 cm (3)B- 408 cm (3)C- 1, 632 cm (3)D- 816 cm (3) Research indicates that if models meet any of the following conditions except __________, individuals are more likely to imitate the observed behaviors. Please select the best answer from the choices provided being respected by the observer being viewed as powerful being different from the observer being viewed as attractive HELP!!! i need a one page paper over this topic!!! "Should members of Congress (Senators and Representatives) be subject to term limits? In other words, should members of Congress only be allowed to serve a finite number of terms?" what is your opinion on child exploitation? 5 sentences to understand the values expressed in a myth, what are the best elements in a story for reader to consider? check all that apply. What is a black hole's escape velocity? Angle X and angle Y are supplementary If angle X measures 142degrees, what is the measure of angle Y? -thank u sm if u answer Can you help me please I can't get it chapter 7 summer of the mariposas summery Caleb bought groceries and paid $1.60 in sales tax. The sales tax rate is 2.5%What was the price of Caleb's groceries, before tax? The group of men who descended on Washington, D.C. were known as the _________ Army. These men demanded a payment from the government. What had they done to earn this pay? 2. What evidence was found to support the different parts of cell theory? PLZ HELP DUE AT 12 does anybody know how to find the volume of. a prism. please help