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Katena32 [7]
3 years ago
8

Use cross products to solve the proportion. equation 1. Use cross products:   (4)(12) = 3x 2. Multiply:          48 = 3x 3. Divi

de both sides by 3: = x
Mathematics
2 answers:
IrinaK [193]3 years ago
5 0

Answer:

16

Step-by-step explanation:

SWER

Yuliya22 [10]3 years ago
4 0

Answer:

its 16 on edge

Step-by-step explanation:

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MrMuchimi
2 16/100 this would be that as a fraction. I'm a little confused as to what your asking

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3 years ago
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
Archy [21]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
80 people were asked which was their favourite animal.
Alex787 [66]

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the \square be x.

Half of \square =x/2

From the pictogram, we then have:

Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x

Therefore:

x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8

So we have the following numbers

Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24

(a)Cat was the least popular

(b) \square represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

7 0
3 years ago
How is the formula for a triangle derived from a parallelogram? Please give a good explanation.
Katen [24]

Answer:

At first, we divide the parallelogram into two triangles by joining any two opposite vertices. These two triangles are exactly the same (congruent) and thus have equal areas. The area of the parallelogram is the summation of the individual areas of the two triangles. We drop a perpendicular from a vertex to its opposite side to get an expression for the height of the triangles. The area of the individual triangle is 12×base×height12×base×height .The area of the parallelogram being twice the area of the triangle, thus becomes after evaluation base×heightbase×height .

Complete step by step answer:

The parallelogram can be divided into two triangles by constructing a diagonal by joining any two opposite vertices.





In the above figure, ΔABDΔABD and ΔBCDΔBCDare the two such triangles. These two triangles have:

AB=CDAB=CD (as opposite sides of a parallelogram are equal)

AD=BCAD=BC (opposite sides of a parallelogram are equal)

BDBD is common

Thus, the two triangles are congruent to each other by SSS axiom of congruence. Since, the areas of two congruent triangles are equal,

⇒area(ΔABD)=area(ΔBCD)⇒area(ΔABD)=area(ΔBCD)

Now, we need to find the area of ΔABDΔABD . We draw a perpendicular from DD to the side ABAB and name it as DEDE . Thus, ΔABDΔABD is now a triangle with base ABAB and height DEDE .

Then, the area of the ΔABD

5 0
2 years ago
Which relationships describe angles 1 and 2? Select each correct answer.
VashaNatasha [74]

Answer:

D. Adjacent angles and B supplementary

Step-by-step explanation:

This is an adjacent and supplementary angle

Option <em><u>D</u></em><em><u>,</u></em><em><u> </u></em><em><u>B</u></em>

6 0
2 years ago
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