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jarptica [38.1K]
2 years ago
5

4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3

5
Mathematics
2 answers:
Zepler [3.9K]2 years ago
8 0
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
dexar [7]2 years ago
8 0
<h2>Answer:</h2>

The angle that will be congruent to angle 4 is :

                              Angle 1

<h2>Step-by-step explanation:</h2>

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

<u>Congruent complementary Theorem--</u>

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

Hence, angle 1 and angle 4 will be congruent to each other.

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Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of h
jok3333 [9.3K]
The constraints for the problem is the number of tomatoes and cups of oil on hand. 

There are only 45 tomatoes and 10 cups of oil on hand to make both the Tuscan sauce and Marinara sauce. 

These are identified as constraints because they limit the number of Tuscan sauce and Marinara sauce that Tiffany can make.
4 0
2 years ago
HELP!!!!
Nonamiya [84]
Your answer is E. $25.

First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:

2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46

Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18

Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25

I hope this helps! Let me know if you have any questions :)
8 0
2 years ago
Jada wants to know how fast the water comes out of her faucet. What information would she need to know to be able to determine t
Mashutka [201]

Answer:

The distance the water is traveling and the time it took.

Step-by-step explanation:

The speed formula is s= d/t so I would guess that is what the question means.

(Sorry if I didn't take a lot of time to answer, it had caps so I would guess that you needed the answer fast. )

4 0
2 years ago
Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in
Lena [83]

Answer:

see below

Step-by-step explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.

8 0
2 years ago
Soup can be packaged in two different containers: a box and a cylinder. The dimensions of the box are 7.5 cm by 4.7 cm by 14.5 c
Brilliant_brown [7]

Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = 2\pi r(r+h)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = 2(3.14)(3.3)(3.3+10)=275.63\ \text{ sq. cm}

<em>[π=3.14]</em>

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \pi r^2h

=(3.14)(3.3)^2(10)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

6 0
2 years ago
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