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3 years ago

Find the values of x and y.

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Step-by-step explanation:

Hey there!!!

When you closely see in figure, we find that,

90° and (2y + 5)° are supplementary,

So, 90° + 2y +5°=180° { supplementary angle is always 180°}.

or, 2y = 180°-95°

$y = \frac{85}{2}$

Therefore the measure of angle y is 42.5°.

Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).

8x - 28° = 180°

8x = 180°+28°

$x = \frac{280}{8}$

Therefore the measure of angle x is 26°.

Hope it helps...

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maks197457 [2]

Answer:

12 yd^2 (c)

Step-by-step explanation:

A=1/2bh

= 1/2 x 8 x 3

=12 yd^2

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2 years ago

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

sammy [17]

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

A pharmaceutical company is testing a new antibiotic. The number of bacteria

astraxan [27]

Answer:

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Step-by-step explanation:

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3 years ago

-3(u+2)=5u-1+5(2u+1)

Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

-3(u + 2) = 5u - 1 + 5(2u + 1)

Step 2: Solve for u

Distribute: -3u - 6 = 5u - 1 + 10u + 5
Combine like terms: -3u - 6 = 15u + 4
Add 3u to both sides: -6 = 18u + 4
Subtract 4 on both sides: -10 = 18u
Divide 18 on both sides: -10/18 = u
Simplify: -5/9 = u
Rewrite: u = -5/9

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Substitute in u: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
Multiply: -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
Add: -3(13/9) = -25/9 - 1 + 5(-1/9)
Multiply: -13/3 = -25/9 - 1 - 5/9
Subtract: -13/3 = -34/9 - 5/9
Subtract: -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

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Find the values of x and y.​

Find the values of x and y.