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shepuryov [24]
3 years ago
11

Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1.

Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 35 inches.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Let's just choose "x" as our variable for the length of a side of the triangle.

Two sides of a triangle are equal in length and double the length of the shortest side.

A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x

The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.

x + 2x + 2x = 35

5x = 35

x = 7

So the smallest side is 7, and the other two sides are 14.

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1. Thom has a scale model of his car. The
MariettaO [177]

x =\frac{4}{3}inch is the size in wheels on the scale model .

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

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ \frac{1}{12}  = \frac{x}{16}                 { x is size of wheel in scale model }

⇒ \frac{1(16)}{12}  = \frac{x}{16}(16)

⇒ x =\frac{16}{12}

⇒ x =\frac{4}{3}inch

Therefore , x =\frac{4}{3}inch is the size in wheels on the scale model .

5 0
3 years ago
A triangle has 2 sides that equal 6 inches. The other side equals 4 inches. What kind of triangle is this
Tom [10]
Ισοσκελες τρίγωνο
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7 0
3 years ago
Read 2 more answers
Find the equation of the linear function h that has h(12)=-7 and that is perpendicular to q(a)=1/2a+38.. I don’t understand how
Effectus [21]

Step-by-step explanation:

q(a) = ½a + 38

The slope of q is ½.  So the perpendicular slope is -1/½ = -2.

Write h(x) in point-slope form:

h − (-7) = -2 (x − 12)

h + 7 = -2 (x − 12)

Simplify to get slope-intercept form.

h + 7 = -2x + 24

h = -2x + 17

7 0
3 years ago
K2-4K-21. How do you factor this
alexira [117]
Assuming yo mean
k²-4k-21

factor by doing
what 2 numbers multipily to get -21 and add to get -4?
-7 and 3

(k-7)(k+3) is factored
4 0
3 years ago
I need help with #11 - #14.
Aleonysh [2.5K]

Answer:

I can get you jump started a bit.

Step-by-step explanation:

So Each of those pairs of figures are Similar.

This means they have equal angle measures but different side lengths.

To find it, we have to make a <u>Proportion:</u>

<u>Example: #11</u>

<u />\frac{x+1}{3x+1} =\frac{8}{20}<u />

So let's solve the first one!

24x+8=20x+20\\4x=12\\x=3

Easy As Pie!

If you need more help, contact me! :)

Hope this Helps!

P.S. Stay Safe!

6 0
3 years ago
Read 2 more answers
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