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antoniya [11.8K]
2 years ago
7

What are the values of a and b? O a 14, b=6 O a=14, b = 8 O a=17, b = 6 O a = 17, b = 8​

Mathematics
1 answer:
ycow [4]2 years ago
7 0

The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

<h3>Calculating the length of the sides of a kite </h3>

From the question, we are to determine the values of a and b

From the given kite diagram, we can conclude that

/FG/ = /HG/

Thus,

30 =  2a - 4

∴ 2a - 4 =  30
2a = 30 + 4

2a = 34

a = 34 / 2

a = 17

Also,

/FJ/ = /HJ/

3b + 6 = 24

3b = 24 - 6

3b = 18

b = 18/3

b = 6

Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

Learn more on Calculating the sides of a kite here: brainly.com/question/21133066

#SPJ1

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What number is correctly graphed on the number line below?
KatRina [158]

Answer:

wdym they all are graphed correctly its a number line.

Step-by-step explanation:

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3 years ago
&lt; ADF measures 2x degrees and &lt; FDC measures x + 12 degrees. What is the measure
gtnhenbr [62]

Answer:

<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>

Step-by-step explanation:

In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

\angle ADF + \angle FDC = 90\°

And we know that

\angle ADF=2x\\\angle FDC = x+12

Replacing these expressions, we have

2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26

Then, we replace this value in each expression to find both angles measures.

\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.

7 0
3 years ago
Hello I would really appreciate if someone could help me with this math question. I’m so confused
Katarina [22]

Answer:

  a. f = 17.5/c

  b. 8.75 N

Step-by-step explanation:

<h3>(a)</h3>

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

  f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

We find the value of k using data given for a specific instance.

  3.5 N = k(1/(5 cm)) . . . . use the given values

  17.5 N·cm = k . . . . . . multiply by the denominator

Then the equation of interest is ...

  f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

__

<h3>(b)</h3>

Using the above equation, we find the force to be ...

  f = 17.5/2 = 8.75 . . . . newtons

_____

<em>Additional comment</em>

We often look at several different kinds of proportionality:

  • y = kx . . . . direct
  • y = k(1/x) . . . . inverse
  • y = kx² . . . . proportional as the square
  • y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

  • y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x  ⇒  xy = k

__

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

  f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

4 0
2 years ago
What is 0.6 divided by 10 to the negative 2 power
nika2105 [10]

0.6/10^-2

 move the decimal 2 places to the right

0.6 becomes 60

 answer is 60

8 0
3 years ago
Plzzz help with all of the questions and plzZZZzZz show work I really need help I’m not understanding help with all the question
statuscvo [17]

Answer:

slope of EF=\frac{5}{3}  

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

∠SUT=21°

Step-by-step explanation:

two line are perpendicular to each other if product of their slope equal to -1

m_{1}\times m_{2}=-1

slope of HE=m_1=-\frac{3}{5}

slope of EF=m_2

slope of EF=-1\frac{-5}{3}=\frac{5}{3}

slope of EF=\frac{5}{3}    answer

∠QSR=45°,

∠PTQ=90°

if  RT=24

then SQ=48

square is always a rectangle

given ∠SUT=3x+6

        ∠RUS=5x-4

∠SUT=∠RUS

3x+6=5x-4

x=5

∠SUT=3x+6=15+6=21°

∠SUT=21°

5 0
3 years ago
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