All categories

2 years ago

Given parallelogram ABCD, find x and m< B

Mathematics

2 answers:

krek1111 [17]2 years ago

6 0

Answer:

x = 38°

∠B = ∠D = 78°

Step-by-step explanation:

3x - 12° + 2x + 2° = 180°

3x + 2x = 180° + 12° - 2°

5x = 190°|:5

x = 38°

∠B = ∠D = 2x + 2° = 78°

Elena-2011 [213]2 years ago

3 0

Answer:

x = 38, ∠ B = 78°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, then

3x - 12 + 2x + 2 = 180

5x - 10 = 180 ( add 10 to both sides )

5x = 190 ( divide both sides by 5 )

x = 38

Then

∠ D = 2x + 2 = 2(38) + 2 = 76 + 2 = 78°

The opposite angles in a parallelogram are congruent , so

∠ B = ∠ D = 78°

You might be interested in

Solve the equation, and check the solutions 2(√x+3)=6.

zhannawk [14.2K]

Answer:

x = 0

Step-by-step explanation:

$2(\sqrt{x}+3)=6$

Expanding the left hand side we get

$\Rightarrow 2\sqrt{x}+6=6$

Taking 6 from left hand side to right hand side

$\Rightarrow 2\sqrt{x}=6-6\\\Rightarrow 2\sqrt{x}=0$

Dividing both sides by 2

$\Rightarrow \sqrt{x}=\frac{0}{2}\\\Rightarrow \sqrt{x}=0\\\Rightarrow x=0$

So, x = 0

4 0

3 years ago

I'd sure hope others know how to do this..

ivann1987 [24]

Answer:

omgg they literally deleted 10 x 5

Step-by-step explanation:

it's 50, I'll be the calculator fam

5 0

3 years ago

Vectorcardiography Suppose the voltage vector of a healthy heart is given by [0.3, 20.2]. Cardiac abnormalities result in change

Alexeev081 [22]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

7 0

3 years ago

ABCD is a parallelogram. If a CDA - 57 then BCD-_?

Paha777 [63]

Answer:

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

3 0

3 years ago

Consider the vector b⃗ b→b_vec with length 4.00 mm at an angle 23.5∘∘ north of east. What is the y component bybyb_y of this vec

Stells [14]

Answer:

$\large\boxed {1.59 mm}$

Explanation:

<u>1. Given vector:</u>

length: 4.00 mm = magnitude of the vector
angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)

<u>2. y-component</u>

The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.

sine (23.5º) = y-component / magnitude

y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.

$\large\boxed{y-component = 1.59 mm}$

7 0

3 years ago