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3 years ago

Please Help 25 points and brainliest ASAP (((((((:

Mathematics

2 answers:

Jet001 [13]3 years ago

6 0

Answer:

∠C = 60°

Step-by-step explanation:

Corresponding angles are congruent, thus

∠B = ∠Y = 70°

The sum of the 3 angles in ΔABC = 180°

∠C = 180° - (70 + 50)° = 180° - 120° = 60°

laiz [17]3 years ago

3 0

Answer:

Step-by-step explanation:

We are given the triangles are congruent, that means the angles are the same measurement

<A = <X

<B = <Y

<C = <Z

We know A = 50 so X = 50

We know <Y = 70 so < B = 70

The three angles of a triangle add to 180

<A + <B + <C = 180

Substituting into the equation

50 + 70 + <C = 180

Combining like terms

120 + <C =180

Subtracting 120 from each side

120-120 +<C =180-120

<C = 60

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Solve the equation for all values of r.<br> (22 – 16) (22 + 49) = 0<br> Please help

wel

<em>Correct expression: </em> $(x^2-16)(x^2+49)=0$

Answer:

x = 4

x = -4

x = 7i or $7 \sqrt{-1}$

x = -7i or $(-7) \sqrt{-1}$

Step-by-step explanation:

$(x^2-16)(x^2+49)=0$

We do factorization of x^2 - 16

(x^2-16) = (x+4)(x-4)

(x+4)(x-4)(x^2+49) = 0

We require that any term in the multiplication to be zero to fulfil the requirement

so:

if x + 4 = 0 then (x+4)(x-4)(x^2+49) = 0

x = -4

if x - 4 = 0 then (x+4)(x-4)(x^2+49) = 0

x = 4

if (x^2+49) = 0 then (x+4)(x-4)(x^2+49) = 0

x^2 = -49

we have two roots:

If your course has already worked with complex number and the root of -1 then:

7i and -7i are solution as well

because 7i will be: $7^2 \sqrt{-1} ^2= 49 (-1) = -49\\$

and the same reasoning for -7i: $(-7)^2 \sqrt{-1} ^2= 49 (-1) = -49$

3 0

3 years ago

The perimeter of a rectangle is 102 cm. If the length is 15 cm less than twice the width , what are the dimensions?

lianna [129]

Let the length be $\ell$ and the width be $w$ . Now, write the length in terms of the width. "The length is 15 cm. less than twice the width" in the form of an equation is

$\ell = 2w - 15 cm.$

Let's plug that into the equation for the perimeter now. The perimeter of a rectangle is $2 \ell + 2w$ , so the equation for the perimeter of this rectangle is

$2 \ell + 2w = 102 cm.$

Plugging in the length in terms of width and solving for the width, we get

$2(2w - 15 cm.) + 2w = 102 cm.$
$6w - 30 cm. = 102 cm.$
$6w = 132 cm.$
$\bf w = 22 cm.$

To find the length, we just have to plug in the width into the equation we wrote for the length in terms of the width:

$\ell = 2w + 15 cm.$
$\ell = 2(22 cm.) - 15 cm.$
$\bf \ell = 29 cm.$

7 0

3 years ago

Need help i don’t know what the answer is

Romashka-Z-Leto [24]

Answer:

r = 5

Step-by-step explanation:

(r + 8)^2 = r^2 + 12^2

r^2 + 16r + 64 = r^2 + 144

16r = 80

r = 5

4 0

3 years ago

Read 2 more answers

I don't know how to solve but a small explanation would be nice

Blababa [14]

Answer:

angle 1, 5, 7

Step-by-step explanation:

angle 3 = angle 1 (vertically opp angles)

angle 3 = angle 5 (alt angles, parallel lines)

angle 3 = angle 7 (corresponding angles, parallel lines)

Topic: angle properties

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7 0

3 years ago

11. List 5 solutions to the graph. What is the slope of the line?

ss7ja [257]

When in doubt pick C

8 0

4 years ago