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2 years ago

TrianglesABC and DEF are Similar Not similar

Mathematics

1 answer:

puteri [66]2 years ago

4 0

Answer:

Similar

Step-by-step explanation:

We can say that the triangles are similar by looking at the angle measurements

Angle B = 35

Angle F = 55

Both angles A and D = 90 because these are right triangles

We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180

Same rule applies to angle C

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Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?

pickupchik [31]

Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

= 3(32) - 17

= 96 - 17

= 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°

3 0

3 years ago

Passing through (-5,4) with slop -3 ?

PSYCHO15rus [73]

Hey there! :)

Answer:

y = -3x - 11

Step-by-step explanation:

Use the formula y = mx + b to write an equation, where:

y = y-coordinate of point

x = x-coordinate of point

m = the slope

Plug in the known coordinates and slope:

4 = -3(-5) + b

Simplify:

4 = 15 + b

4 - 15 = b

-11 = b

Rewrite the equation:

y = -3x - 11

6 0

3 years ago

Read 2 more answers

What is the y-intercept of f(x)=-X^3+3x^2+1?

IgorC [24]

ANSWER

The y-intercept is

$(0,1)$

EXPLANATION

The given polynomial function is

$f(x) = - {x}^{3} + 3 {x}^{2} + 1$

At y-intercept the value of x is zero.

Therefore we need to put
$x = 0$

into the given polynomial function to determine the corresponding y-value.

$f(0) = - {(0)}^{3} + 3 {(0)}^{2} + 1$

This will give us,

$f(0) = 0 + 0+ 1$

We further simplify to obtain,
$f(0) =1$

This means that when
$x = 0$
the value of the function is
$1$

Hence the y-intercept is

$(0,1)$

6 0

3 years ago

Which fraction is equal a whole number ? <br><br> A. 3/6 B.7/8 C.10/4 D.8/4

Yanka [14]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Destiny read

RUDIKE [14]

Answer:

1/6 on the book

Step-by-step explanation:

1/2 = 3/6 and 1/3 = 2/6.

8 0

3 years ago