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soldi70 [24.7K]
3 years ago
9

A toy chest wall hole 78 ft.³ of toys the height of the chest is 4 feet and the width is 3 feet what is the length of the toy ch

est
Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0
The answer is 6.5 because if you multiply 4 and 3, you only need to find what you need to multiply to get to the goal number, 78.
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What are the postulates for congruent triangles
Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

<u>1. SSS (Side, Side, Side)</u>

Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

Means that we have two triangles where we know 2 angles and the included side are equal.

⇒ If 2 angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
prohojiy [21]
<h2>Answer:</h2>

55°

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

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

3 0
3 years ago
Whoever answers this NOW will get brainliest
gavmur [86]

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

5 0
3 years ago
What is the theoretical probability of Eric picking a black marble next time based on Eric's results what is the experimental pr
o-na [289]
The answer is a! i dont promise
5 0
3 years ago
Answer this real-world question
Mrrafil [7]

Answer:

After 15 days they'll both have $10

Explanation:

100 (Xavier's total)- 6x (6 dollars every day) = 160 (Zach's total amount) -10x (10 dollars every day)

100-6x=160-10x\\

+10x on both sides

100+4x=160

-100 on both sides

4x=60

/4 on both sides

x=15

4 0
3 years ago
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