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2 years ago

BC=CD what is the property

Mathematics

1 answer:

Andre45 [30]2 years ago

5 0

Distributive Property AB + AB = 2AB

Reflexive Property m>B = m>B

Symmetric Property If AB + BC = AC then AC = AB + BC

Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

You might be interested in

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

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2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

7 0

3 years ago

Write an explicit function for f(x) <br> Can anyone help me with this please I’ll mark as brainliest

stiv31 [10]

Answer:

Explicit Function:

Any function which when expressed in terms of the independent variable is called an explicit function. For example, if we write y=f(x)

, then the dependent variable y is given in terms of the independent variable x by the function f(x). Thus y=f(x) is an explicit function. But, g(x,y)=c

is not explicit as it is a combination of both x and y. Such a function is called implicit.

Step-by-step explanation:

What is meant by implicit function?

An implicit function is a function that is defined by an implicit equation. That means the equation contains several variables, including dependent and independent. In other words, it is an equation that relates one of the variables, recognized as the value of the function, with the others regarded as the arguments.

What is an explicit function?

An explicit function is a function that is represented in terms of an independent variable. For example, y = 4x – 7 is explicit where y is a dependent variable and is dependent on the independent variable x.

How do you know if a function is implicit?

If a function is written in the form f(x, y) = 0, we can say that the given function is implicit.

What is implicit function differentiation?

We differentiate or find the derivative for both sides of the equation in implicit function differentiation.

What is explicit and implicit?

In general, “explicit” means clearly stated, whereas “implicit” refers to proposed and not stated directly.

5 0

3 years ago

Can somebody fill in the blanks for me.

alukav5142 [94]

Answer:

Step-by-step explanation:

2: exterior and opposite

3:supplementary

5: angles and equal

6: supplementary

4 0

3 years ago

A triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?

ch4aika [34]

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

8 0

2 years ago

An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face

aleksley [76]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

3 0

3 years ago