What the perimeter is of the shape

Ms. Katz paid $50 for a used bicycle and then sold it to her neighbor for $60. She decided to buy it back, but she had to pay $7

Natasha2012 [34]

-50 + 60
= 10
10 - 70
= -60
-60 + 80
20
so he made a profit of $20

4 0

4 years ago

Read 2 more answers

Help idk how to do this ASAP please

Sergio039 [100]

Answer:

The area of ∆DEF = 4.5in²

Step-by-step explanation:

From the above diagram,

∆BAC ~∆DEF

It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides

This means for the above question, that

We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²

The small triangle has a side of 3in

Finding the scale factor k = ratio of the sides of both Triangles

k = 4/3

k² = (4/3)²

k² = 16/9

Hence,

Area of ∆BAC/ Area of ∆DEF = 16/9

8in²/Area of ∆DEF = 16/9

We cross Multiply

8 in² × 9 = Area of ∆DEF × 16

Divide both sides by 16

Area of ∆DEF = 72/16

= 4.5in²

Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²

8 0

3 years ago

I need help its my homework and it's due today Find the base angles.

MrRa [10]

Answer:

Each base angle would be 70°.

Step-by-step explanation:

*Base angles means the two equal angles formed on the base are called base angles.

Base means the third unequal side of the triangle. *

Given triangle is isosceles triangle.

The angle of vertex which is given is 40°.

Let each base angle be x.

We know that,

There are two base angles in a isosceles triangle.

And, Sum of angles of triangle is 180° .

Therefore,

$\tt \implies \: x + x + 40 {}^{ \circ} = 180 {}^\circ$

Now Solve For x. That would be the solution.

Steps:

Combine like terms:

$\tt \implies2x + 40{}^{ \circ} = 180{}^{ \circ}$

Subtract 40 from both sides:

$\tt \implies2x + 40{}^{ \circ} - 40 = 180{}^{ \circ} - 40{}^{ \circ}$

Simplify the LHS and RHS:

$\tt \implies2x + 0 = 140{}^{ \circ}$

$\tt \implies2x = 140 {}^{ \circ}$

Divide both sides by 2:

$\tt \implies \cfrac{2x}{2} = \cfrac{140{}^{ \circ} }{2{}^{ \circ} }$

Use cancellation method and cancel LHS and RHS:

$\tt \implies \cfrac{ \cancel2x}{ \cancel2} = \cfrac{ \cancel{140^{ \circ}} }{ \cancel{2{}^{ \circ} }}$

$\tt \implies \cfrac{1x}{1} = \cfrac{70{}^{ \circ} }{1{}^{ \circ} }$

$\tt \implies{1x} = {70}^{ \circ}$

$\tt \implies{x} = 70{}^{ \circ}$

Hence, each base angle would be 70°.

Verification:

As we know that sum of angles of triangle is 180°.

So,

$\tt \implies \: Base \: angle + other \: base \: angle + vertex \: angle= 180{}^{ \circ}$

We got that one base angles of the given isosceles triangle is 70° and other is 70°, and the vertex angle is 40°[Given].

$\tt \implies70{}^{ \circ} + 70{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

Solve it.

$\tt \implies140{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

$\tt \implies180{}^{ \circ} = 180{}^{ \circ}$

$\tt \: LHS = RHS$

$\star \sf \: Hence, Verified.$

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

4 0

2 years ago

Read 2 more answers

The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 mor

mr_godi [17]

Let the second score = x
⇒ second score = x

the first is 14 points more than the second
⇒ first score = x + 14

the sum of the first two is 6 more than twice the third
⇒ third score = 1/2 (x + x + 14 - 6) = x + 4

The sum of a student's three score is 246
⇒ x + (x + 14) + (x + 4) = 246

Solve x:
x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76

second score = x = 76
first score = x + 14 = 76 + 14 = 90

Answer: 90

7 0

3 years ago

2. Suppose that 1% of the women in a certain population have breast cancer and that each of

Nadya [2.5K]

The correct answer would be D I think

6 0

3 years ago