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2 years ago

Just get 10 points get some points have fun use them wizely

Mathematics

2 answers:

andrew-mc [135]2 years ago

5 0

Answer:thx

Step-by-step explanation:

masha68 [24]2 years ago

4 0

Answer:

thank you

Step-by-step explanation:

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I need help with this proof, the given and prove are at the top. Plzzzz help

Goshia [24]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°

Prove: x= 39°

Statement Reason

1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given

and m∠ DOC= (x+14)°

2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC

into ∠AOD and ∠DOC

3. (3x-10)° +(x+14)°= 160° 3. By substitution

4. 4x+4 = 160° 4. By equating like terms

5. 4x= 156° 5. By subtraction property

of equality

6. x= 39° 6. By division property of equality

7 0

3 years ago

The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

5 0

3 years ago

Which set of ordered pairs contains only points that are on the graph of the function y=12-3×?

irina [24]

Y= 12 -3x so if you take x as 0 y=12 x=1 y=9 x=2 y=6

(0, 12) (1,9), (2,6) are on the graph

8 0

3 years ago

Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft

victus00 [196]

Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800

5 0

3 years ago

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angle

Oduvanchick [21]

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

5 0

3 years ago