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9 months ago

Drag a statement or reason to each box to complete this proof.

Mathematics

1 answer:

alukav5142 [94]9 months ago

8 0

The table to complete the proof is as follows

Equation statement

1. m∠ABD = 60°, m∠DBC=40° Given

2. m∠ABD + m∠DBC = m∠ABC Angle Addition Postulate

3. 60° + 40° = m∠ABC Substitution Property of Equality

4. 100° = m∠ABC Simplifying

5. ∠ABC is an obtuse angle. greater than 90 degrees

6. △ABC is an obtuse triangle. Definition of obtuse triangle

<h3>What is obtuse angles?</h3>

When an angel is greater than 90 degrees the angle is said to be an obtuse angle.

For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

Read more on angles here: brainly.com/question/25716982

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-3+4x-10=1/2x Please HELP

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Answer:

x=26/7

Step-by-step explanation:

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2 years ago

Wat is 5/9-1/3 Equal to.

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3 years ago

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The width of a rectangle is 5 units less than the length. The area of the rectangle is 6 units. What is the width, in units, of

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Answer:

The width of rectangle is 1 unit.

Step-by-step explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be $x$ and the width be $x-5$ .

Now, to find the width we put the formula of area of rectangle:

Area = length × width

$6= x\times (x-5)$

$6=x^{2}-5x$

$0=x^{2}-5x-6$

$0=x^{2}-6x+x-6$

$0=x(x-6)+1(x-6)$

$0=(x-6)(x+1)$

On solving equation we get:

$x-6=0, x+1=0$

Therefore, we take the value x=6 as it is positive value:

$x-6=0$

$x=6$

So, the width of rectangle:

Width = $x-5$

= $6-5$

= $1$

Therefore, the width of rectangle is 1 unit.

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2 years ago

Given the length of three sides of a triangle, which is a right triangle?

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The aides of a right triangle will always satisfy the Pythagorean relationship ...

 a² + b²= c²

We can take each of these and try it out:

(1) ... 10² + 24² = 100 + 576 = 676
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(2) ... 12² + 18² = 144 + 324 = 468
 √468 = 21.6, not 20. No.

(3) ... 15² + 26² = 225 + 676 = 901
 √901 = 30.017 Awfully close. As an engineer, I'll buy this one. Yes.

(4) ... 40² + 50² = 1,600 + 2,500 = 4,100
 √4,100 = 64.03, not 80. No.

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2 years ago

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Write the following sentence as linear equation. Adding 16 to 5 times a number x is 40.

motikmotik

Answer:

x = 24/5

Step-by-step explanation:

16+5x=40

5x=40-16

5x= 24

x= 24/5