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3 years ago

Test each statement below to see if it is reversible. If so, write it as a true biconditional. If not, write not reversible

Mathematics

2 answers:

gavmur [86]3 years ago

4 0

the correct answer for 1. is true

the correct answer for 2. is false

FinnZ [79.3K]3 years ago

3 0

Statement: Complementary angles are two angles with measures that have a sum of 90.
Reverse: Two angles with measures that have a sum of 90 are complementary angles.

Here the reverse is true, therefore, the statement is true biconditional.

Statement: A rectangle is a four-sided figure with at least one right angle.
Reverse: A four sided figure with at least one right angle is a rectangle.

Here, the reverse is not true, therefore, the statement is not reversible.

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Tierra bought 4 3/8 yards blue ribbon and 2 1/8 yards yellow ribbon for a craft project. How much more blue ribbon than than yel

PolarNik [594]

She bought 2 1/4 more blue ribbon.

4 3/8 - 2 1/8 = 2.25
2.25= 9/4
9/4= 2 1/4

-Katie ;)

4 0

3 years ago

Read 2 more answers

Area of the blue shaded region??? please show work

konstantin123 [22]

Answer:

Step-by-step explanation:

you first look at the circle

next you see the numbers in the circle

after that you multiply the numbers together

so, 3 x 7 = 21

7 0

3 years ago

Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with

saw5 [17]

Answer:

b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

The sum of angles in a triangle is 180°, no more, no less.
The sum of the lengths of the two shortest sides exceeds the longest side.
When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

Additional comment

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

The congruence postulates for triangles are ...

SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define a singular triangle. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the longest specified side, regardless of that angle's measure. However, when the angle is opposite the shortest specified side, the above-described ratio restriction holds. If the sine of the angle is less than the ratio of sides, then two possible triangles are specified.

4 0

2 years ago

How do you work out px+py=a?

natka813 [3]

$\bf px+py=a\implies \stackrel{\textit{common factor}}{p}(x+y)=a\implies p=\cfrac{a}{x+y}$

5 0

4 years ago

What is an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of 6?

RSB [31]

Answer:

slope(m)=change in y/change in x

6=y-(-1)/x-4

6=y+1/x-4

6(x-4)=y+1

6x-24=y+1

6x-24-1=y

6x-25=y

hence this is the equation

7 0

2 years ago