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saul85 [17]
2 years ago
14

3ab+2 x -a =2c a=2 b=3 c=7 True or False

Mathematics
1 answer:
ollegr [7]2 years ago
8 0

Answer:

t

Step-by-step explanation:

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Help me. I don't understand. Please help me find X and IK
sertanlavr [38]

Answer:

x=4\\\\y=6\\\\IK=47

Step-by-step explanation:

Two Tangent Theorem: Tangents which meet at same point are equal in length.

Here tangents at J and H meet at I.

Hence\ HI=IJ\\\\y^2-10=4y+2\\\\y^2-4y-12=0\\\\y^2-6y+2y-12=0\\\\y(y-6)+2(y-6)=0\\\\(y-6)(y+2)\\\\y\ can\ not\ be\ negative\ as\ in\ that\ case\ IJ\ will\ be\ negative.\\\\Hence\ y=6\\\\IJ=4y+2=4\times 6+2=26\\\\\\\\Tangents\ at\ J\ and\ L\ meet\ at\ K.\ Use\ two\ tangent\ theorem.\\\\JK=KL\\\\5x+1=6x-3\\\\6x-5x=1+3\\\\x=4\\\\JK=5x+1=5\times 4+1=21\\\\\\IK=IJ+JK=26+21\\\\IK=47

6 0
3 years ago
Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
geniusboy [140]
DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\
------\\
a=2.8\\
p=18
\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
6 0
3 years ago
Nelson needs 3 and 3/4 cups of flour to make a loaf of bread and 2 and 2/3 cups of flour to make pretzels. How many cups of flou
matrenka [14]

Answer:

that is 6 and 5/ 12 cups of flour are required

Step-by-step explanation:

total number of cups required to make a loaf of bread

= 3 + ¾

making their denominators equal and that to 4

= 12/ 4 + 3/ 4

adding numerators

= (12 + 3)/ 4

= 15/ 4

total cups of flour required to make pretzels

= 2 + ⅔

making their denominators equal and that to 3

= 6/ 3 + 2/ 3

adding nunerators

= (6 + 2)/ 3

= 8/ 3

Total cups required:-

= 15/ 4 + 8/ 3

taking lcm of denominators to make the fractions equivalent

= {(15 × 3) + (8 × 4)}/ 12

= {45 + 32}/ 12

= 77/ 12

6 \frac{5}{ 12}

<em>that is 6 and 5/ 12 cups of flour are required</em>.

4 0
3 years ago
Read 2 more answers
To buy a car, you borrow $25,000 with a term of three years at an APR of 6.5%. What is your monthly
Finger [1]

Answer:

  $766.23

Step-by-step explanation:

The amortization formula is appropriate for this. (Better, use a financial calculator or spreadsheet.)

  A = P(r/12)/(1 -(1 +r/12)^-(12t))

where P is the amount borrowed (25,000), r is the annual rate (0.065), and t is the number of years (3).

Putting the given numbers into the formula, we have ...

  A = $25,000(0.065/12)/(1 -(1 +0.065/12)^(-36))

  A = $25,000(.00541667)/(1 -1.00541667^-36)

  A = $25,000(0.00541667)/(0.1767322)

  A = $766.23

The monthly payment is $766.23.

_____

<em>Comment on tools</em>

A graphing or scientific calculator is useful for these. Something like a TI-84, or any of the equivalents, will have financial calculations like this built in. There are also numerous apps available for phone or tablet that will do financial calculations.

4 0
3 years ago
Angle psr measures 99° what is the measure of psq in degrees?
joja [24]
Assuming that point s is the vertex of the angle and that line sq is between angle psr. We can get the correct measurement of angle psq by subtracting 99 degrees with the measurement of the angle made by qsr. Hope this helps. Have a nice day.
4 0
3 years ago
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