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1 year ago

In the figure shown, m∠ABD=8x−28 and m∠DBC=4x+10.

Mathematics

1 answer:

prohojiy [21]1 year ago

7 0

In geometry, the segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

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On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if

QveST [7]

Let
A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure

6 0

3 years ago

Use a calculator to find a decimal approximation for the following trigonometric function.

forsale [732]

Converting
43°24' intodegrees, we get

43°24' = 43° + 24'/60 = 43.4°

putting sin(43.4)into calculator to 8 decimal places

sin(43°24') = sin(43.4) = 0.68708751

5 0

3 years ago

Read 2 more answers

Ok maths experts ,here is your trigonometric question

EleoNora [17]

Answer:

Step-by-step explanation:

i don't take trig :/

6 0

3 years ago

Passes through (3, 4) and (5, -4) how do I solve

nikitadnepr [17]

Answer:

y = - 4x + 16

Step-by-step explanation:

Assuming you require the equation of the line passing through the points.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)

m = $\frac{-4-4}{5-3}$ = $\frac{-8}{2}$ = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 4), then

4 = - 12 + c ⇒ c = 4 + 12 = 16

y = - 4x + 16 ← equation of line

8 0

3 years ago

Pls help! What is the range in interval notation?

Anon25 [30]

Do you love Selena Quintanilla?

5 0

3 years ago