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3 years ago

Name a pair of adjacent supplementary angles.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

4 0

Supplementary angles are those that together form strait angle with the measure of 180°.

The first picture doesn't contain supplementary angles, because 41°+124°=165°.

Oh the second diagram you can see three pairs of adjacent suplementary angles:

∠KJL and ∠LJN, because m∠KJL=90° (it is right angle) and m∠LJN=56°+34°=90°, then m∠KJL+m∠LJN=90°+90°=180°.
∠KJM and ∠MJN, because m∠MJN=34° and m∠KJM=90°+56°=146°, then m∠KJM+m∠MJN=34°+146°=180°.
∠NJP and ∠PJK, because m∠NJP=49° and m∠PJK=360°-49°-34°-56°-90°=131°, then m∠NJP+m∠PJK=49°+131°=180°/

Answer: correct choice is 2 and 3 (this is second pair of adjacent suplementary angles)

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Find the value of x and y

algol13

What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a straight angle, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.

8 0

3 years ago

Sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. She earned at least $329.75. If h

jonny [76]

Answer:

The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is 105 + 7.25 h $\geq$ 329.75

Step-by-step explanation:

Given as :

The earning of Sara in per hour amount = $7.25 per hour

The additional earning of Sara as tips = $105

The Total earning of Sara = $329.75

Let The minimum number of hours that Sara could have worked = h hours

Now, According to question

The Total earning of Sara = The earning of Sara in per hour amount × minimum working hours + The additional earning of Sara as tips

I.e $329.75 = $7.25 per hour × h + $105

Or, $105 + $7.25 per hour × h = $329.75

Or, $7.25 per hour × h = $329.75 - $105

Or, 7.25 per hour × h = 224.75

∴ h = $\dfrac{224.75}{7.25}$

I,e h = 31 hours

So, The number of hours Sara worked = h = 31 hours . Answer

Hence, The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is 105 + 7.25 h $\geq$ $329.75

Answer

4 0

4 years ago

Suppose the equation for line A is given by the equation y=--- 2. Ifline A and line B are perpendicular and the point (-4,1) lie

nignag [31]

Answer:

Not sure sorry

Step-by-step explanation:

not sure

4 0

3 years ago

BEST ANSWER GETS TO BE BRAINLYEST!!!!!

tekilochka [14]

Answer:

C. 469 in²

Step-by-step explanation:

The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.

In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.

The total surface area of the prism is then ...

(392 + 77) in² = 469 in²

_____

The area of a rectangle is the product of its length and width.

The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.

_____

Comment on the geometry

This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.