In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)

Answers

Answer 1

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

In Rhombus ABCD Shown Below, AB=17 And AC=16 Determine The Length Of BD Without (hint , Not With Trigonometry)

Related Questions

21. identify the secant that intersects OA.

Answers

Answer: Line BC

=============================================================

Explanation:

A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.

This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.

Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.

Answer:

Line BC

Step-by-step explanation:

How many lies of symmetry does this figure have ?

Answers

Answer:

B.

Step-by-step explanation:

You can draw draw ten lines through this figure to get symmetry either side.

hii! help asap. i’ll give brainliest thanks!

Answers

Answer:

A

Step-by-step explanation:

Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it.

Force equals mass times acceleration [ ].

For every action there is an equal and opposite reaction.

PLZ PLZ PLZ HELP ME PLSSSSS

Answers

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

through: (2,-2) slope = -2
y=mx+b
-2=-2(2)+b what ur answer ​

Answers

Answer:

b= 2

Step-by-step explanation:

x=2

y=-2

slope= -2

y=mx+b

-2= -2(2) + b

-2= -4 +b

-2+4= b

2= b

Answer:

2=b through the slope -2=-2(2)+b

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC? 2 units 2.4 units 3 units 3.75 units

Answers

Answer:

The answer is "2.4 units "

Step-by-step explanation:

Please find the complete question:

[tex]EC = x\\\\\frac{5}{3} = \frac{4}{x}\\\\5x = 4(3)\\\\5x = 12\\\\x = \frac{12}{5}\\\\x = 2.4[/tex]

Answer:

B. 2.4

Step-by-step explanation:

5/3 = 4/EC

EC = 4 (3/5) = 12/5 = 2.4

what's the answer to 7n - 7 = 1 +8n

Answers

Answer:

N = -8

Hope this helps!

Mark me brainliest if I'm right :)

Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10​

Answers

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Please I need help! I need to find the Cosine of A

Answers

Answer:

cos A = 12/13 = 0.9231

(angle A = 22.62°)

Step-by-step explanation:

cos A = 12/13 = 0.9231

ANSWER=

cos A = 12/13 = 0.9231

(angle A = 22.62°)

EXPLANTION=

cos A = 12/13 = 0.9231

Answer this please 7= - w/8

Answers

Answer:

[tex]w = - 56[/tex]

Step-by-step explanation:

[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex]

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Hope it is helpful....

Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)

Answers

Answer:

Midpoint is[tex](-25.15,10.2)[/tex]

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let [tex](a,b),(c,d)[/tex] be the endpoints of a line segment.

Midpoint of the line segment is given by [tex](\frac{a+c}{2} ,\frac{b+d}{2})[/tex]

Take the given points as follows:

[tex](a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)[/tex]

Midpoint of a line segment [tex]=(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})[/tex]

[tex]=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)[/tex]

-2/7 + 1/3 , what would this be?

Answers

Answer:

1/21

Step-by-step explanation:

-2/7 + 1/3 = 3(-2) / 3(7) + 7(1) / 7(3) = -6/21 + 7/21 = (-6 + 7) / 21 = 1/21

Answer:

[tex]\sf \dfrac{1}{21}[/tex]

Step-by-step explanation:

[tex]\textsf{To calculate}-\dfrac{2}{7}+\dfrac{1}{3}, \: \textsf{ first make the denominators the same}.[/tex]

[tex]\textsf{Adjust the fractions based on their lowest common multiplier}:[/tex]

[tex]\implies -\dfrac{2}{7} \cdot \dfrac{3}{3} + \dfrac{1}{3} \cdot \dfrac{7}{7}[/tex]

[tex]\implies -\dfrac{2 \cdot 3}{7 \cdot 3} + \dfrac{1 \cdot 7}{3 \cdot 7}[/tex]

[tex]\implies -\dfrac{6}{21}+\dfrac{7}{21}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]

[tex]\implies \dfrac{-6+7}{21}[/tex]

[tex]\textsf{Add the numbers of the numerator}:[/tex]

[tex]\implies \dfrac{1}{21}[/tex]

Learn more about fractions here:

https://brainly.com/question/27979364

https://brainly.com/question/27943438

Rafael drove 819 miles in 13 hours. At the same rate how many miles would he drive in 5 hours

Answers

Answer:

315

Step-by-step explanation:

819 miles/13 hours = 63 miles per hour

63 x 5 = 315

If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!

Answers

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

Can someone help me I don't know what n represents

Answers

Answer:

n=7

Step-by-step explanation:

6(n-3) - 2n=10

Distribute

6n - 18 -2n = 10

Combine like terms

4n -18 = 10

Add 18 to each side

4n-18+18 = 10+18

4n = 28

Divide by 4

4n/4 = 28/4

n = 7

A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25

Answers

Answer: The Answer is D.) 16/25

Step-by-step explanation: I got it correct on Study Island

The price of a dress was
reduced from $60 to $45.
By what percentage was
the price of the dress
reduced?

Answers

Answer:

25%

Step-by-step explanation:

$60 * .25 = $15

$60 - $15 = $45

Can anyone please help me I’ll give you brain list

Answers

Answer:

3a. yes

3b. y= 75x

3c. 600 mi

3d. 10 inches

Step-by-step explanation:

3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.

3b: y would equal the amount of inches multiplied by 75, so y=75x

3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles

3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches

help please! quadratic equation and stretch factor

Answers

Answer:

Equation: f(x)=x²-4x+3

Stretch factor: a=1

Step-by-step explanation:

Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:

(x-1)(x-3)=0

x²-4x+3=0

Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1

if bob is 4 years older than twice his neighbor's age, and the sum of their ages is 67, what is bob's age ?

Answers

Answer:

bob would be 46

Step-by-step explanation:

take 67 subtract 4 to get 63 and divide it by 3 to get 3 groups of 21

add 21 and 21 to get 42+4=46

Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114​

Answers

Answer: 145

Step-by-step explanation:

check

Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno

Answers

Answer:

Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno  $195 000

Step-by-step explanation:

Ya que no se especifica un valor por unidad de área podemos suponer por  ejemplo $ 50 / metro^2

Terreno:

0.3 hm^2

0.9 dam^2

1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.

-Hectómetro cuadrado

1 hm^2  = 10 000 m^2

Por lo tanto,

0.3 hm^2 * 10 000 m^2 /  1 hm^2 = 3000 m^2

-Decámetro cuadrado

1 dam^2  = 1 000 m^2

Por lo tanto,

0.9 dam^2 *  1 000 m^2 /1 dam^2  = 900  m^2

Así que el total del terreno es de 3900 m^2

2) Ahora podemos calcular el valor total del terreno

area* valor (por m^2)

3900  m^2  * $50/ m^2 =  $195 000

Help me out please????

Answers

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions

Answers

Answer:

Hi, there your answer will be C. y=33/2x+425

Step-by-step explanation:

I tired uploading the picture on how I got my answer, but it keep saying inaapriate words which I didn't even said anything bad, but yeah trust me the answer is right.

HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?

Answers

Answer:

x=1

Step-by-step explanation:

x+2=2x+1

x=1

sides of a square must be equal

willl give brainlyist if quick its timedd

Answers

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation:

Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?

Answers

Answer: C

Step-by-step explanation:

edge2021

i do t really know how to do this pls help

Answers

Answer:

for number 5 Subtract 18 from both sides of the equation

4+18−18=30−18

for number 1 Subtract 7 from both sides of the equation

so number 3 subtract 3 from each side and so on hope it helps

im not sure how to explain it but--

for example.. the first one

1) y + 7 = 12

first, you subtract 7 from both sides

so-- you'll subtract 7-7 on the left and 12-7 from the right

now, you have y by itself since 7-7 = 0

y = 12-7, or y = 5

also its important to note that when the equation is like 2) and uses subtraction (x-4) instead of addition (y +7)-- then you add to both sides

so for 2)-- you'd add 4 to both sides for 4 to cancel out to equal 0

your goal is always to isolate the variable on one side

In the figure below mPUR =77 and mST=74 Find mPR

Answers

Answer:

a)

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°

b)

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°

Marking brainliest !!

Pls help

Answers

Answer:

For "I have a Dream", it is focused on America as a whole and to one day have people of all races to be treated equally. Letter from a Birmingham Jail was focused more on a group of white clergy.

The letter from a jail was basically focused on the white. The” I have a dream” is focused on all America wishing that one day everybody would be treated equally with no discrimination.
Other Questions
12. You have to start early. Otherwise you will get stuck in the traffic.13. Hire a taxi. Or, you will miss the train.14. Obey my orders. Otherwise you will be dismissed.118 The pattern of the conclusion is opposite that of the introduction because it ____.begins with a specific statement and moves to general statementsbegins with the general and moves to the specific How does the entrance of Mangan's sister at theend of the first paragraph, on page 3. affect theplot?It introduces an important internal conflict for thenarrator.It creates tension between the narrator and theother boys.It begins the falling action as the narrator confrontsa problem.It solves the mystery of why the narrator is hidingin shadows. HELP NEEDED PLEASE!! WILL GIVE BRAINIESTFind the mean absolute deviation of the following numbers: 12, 15, 17, 18, 15, 20, 22 The speed limit on many roads in a town 13.5 m/s outside schools this is limit is often reduced by one third calculate the reduced speed limit 2. The formula below, the legs of the triangle are a and b. The hypotenuse is c. A^2 + b^2=c^2true or false why did Japan wanted to colonise china Please helpppppp! WILL GIVE BRAINLIEST!!! Which Central American and Caribbean countries did Reagan send weapons, troops, money, or advisers to in order to support anti-communist activities? Haiti, Cuba, Venezuela El Salvador, Nicaragua, Grenada Bahamas, Mexico, Dominican Republic Belize, Panama, Colombia 2 - (4 - 3) and (2 4) - 3 what property is it? Which of the following sets of numbers contains only rational numbers? Hey guys, What are some good songs that start with the letter Z HELP Select the correct answer.What theme is the main theme of this excerpt from The Metal Pig by Hans Christian Andersen?In the garden of the grand duke's palace, under the roof of one of the wings, where a thousand roses bloom in winter, a little ragged boy had been sitting the whole day long. The boy might serve as a type of Italy: lovely and smiling, and yet suffering. He was hungry and thirsty, but no one gave him anything; and when it became dark and they were about to close the gardens, the porter turned him out. A long time he stood musing on the bridge which crosses the Arno and looking at the glittering stars that were reflected in the water which flowed between him and the wonderful marble bridge Delia Trinit. He then walked away towards the Metal Pig, half knelt down, clasped it with his arms, and, putting his mouth to the shining snout, drank deep draughts of the fresh water. Close by lay a few salad leaves and two chestnuts, which were to serve for his supper. No one was in the street but himself. It belonged only to him. He boldly seated himself on the pig's back, leaned forward so that his curly head could rest on the head of the animal, and, before he was aware, fell asleep. It was midnight. The Metal Pig raised himself gently, and the boy heard him say quite distinctly, "Hold tight, little boy, for I am going to run"; and away he started for a most wonderful ride. First they arrived at the Piazza del Granduca, and the metal horse which bears the duke's statue neighed aloud.A. lonelinessB. magicC. hungerD. crueltyRes 6(3b-5) b=5is the value 60 The boat top speed was 2 miles per hour less then 3/5 the cars top speed. The boats top speed was 73 miles per hour.what was the top speed of the car ? PLS HELP ME GIVING OUT BRAINLIEST ANSWER!! ____________ is the study of the interactions among all organisms and their physical environment. A ____________ is the place where an organism lives. A ____________ is all the individuals of the same species found in the same location. A ____________ consists of all of the various populations interacting at a locale. An ecosystem contains a community of populations and also the ____________ environment. The biosphere encompasses all of the ____________ of the Earth's soil, water, and air where living organisms are found. Which of the following transformations does notpreserve congruence?F. (x,y) (-x, -Y)G. (x, y) = (-y, -x)H. (x, y) = (x + 9.y + 9)J. (x,y) (9x, 9y) Fill in the blank with the future tense of the verb in parenthesis.Il dix ans. (avoir)avoiraauraauraiauront The Cordon is the trunk of the grape plant True False