1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
2 years ago
10

Hello, happy Friday, I am just here with some geometry questions.

Mathematics
2 answers:
LiRa [457]2 years ago
6 0

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:\frac{x}{x + 12} = \frac{x + 1}{x + 16} **

We now multiply both sides of the above equation by (x + 12)(x + 16) to get: x(x + 16) = (x + 1)(x + 12)

x^{2}  + 16x = x^{2}  + 13x + 12

3x = 12

x = 4

That means our answer, for the value of x, is 4

** Make sure you don't say \frac{x}{12} = \frac{x + 1}{15}, because those aren't the sides of the larger square.

Genrish500 [490]2 years ago
5 0

Answer:

x=4

Step-by-step explanation:

By the Triangle Proportionality Theorem:

\displaystyle \frac{x}{12}=\frac{x+1}{15}

By cross-multiplication:

\displaystyle 12(x+1)=15(x)

Distribute:

12x+12=15x

Subtract 12x from both sides:

12=3x

Hence:

x=4

You might be interested in
1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
bixtya [17]

Answer: Q1.=145, Q2.=20

Step-by-step explanation:

two supplementary angles equal 180

1. 180-35=145

2 . complementary angles , both add up to 90

90-70=20

4 0
3 years ago
Please, Answer THANK YOU! WILL GIVE BRAINLIEST
damaskus [11]

Answer:

B 61 1/2 inches

Step-by-step explanation:

The longest flower is 8 1/2 inches

There are 2 flowers that are 7 3/4 inches

There are 5 flowers that are 7 1/2 inches

That makes 8 flowers

8 1/2 + 2(7 3/4) + 5 (7 1/2) = total length of flowers

Distribute

8 1/2 + 14  6/4 + 35 5/2

Add the whole numbers

8+14+35 = 57

Now we add the fractions

1/2 + 6/4+5/2

1/2+5/2 = 6/2 =3

6/4 = 3/2 =   1  1/2

3 + 1 1/2 = 4 1/2

Whole numbers plus fractions

57 + 4 1/2

61 1/2 inches

6 0
3 years ago
ANSWER BOTH CORRECTLY!! PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP THERE IS 2 QUESTIONS
melomori [17]

Answer:

TS = 22

x = 49

Step-by-step explanation:

(5x-2)/39 = (3x+1)/26

Multiply both sides by 78:

10x-4 = 9x+3

x=7

3x+1 = 22

:::::

(x+5)/36 = 30/20

x+5 = 54

x = 49

7 0
3 years ago
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
Aleks04 [339]

2/5 cup of sugar

you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar

5 0
2 years ago
When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
Orlov [11]

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is 100\%-20\%-20\%=60\% of the total distance from home to school.

1200=\dfrac{60}{100}x

1200=0.6x

\dfrac{1200}{0.6}=x

2000=x

Therefore, the distance from home to school is 2000  metres.

7 0
3 years ago
Other questions:
  • Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p, the cost, in dollars of eac
    15·1 answer
  • Susan Williams purchased $80,000 of whole life. What will the cash value of her policy be at the following anniversary dates?
    8·1 answer
  • What is the value of x in the equation 2x + 3y = 36, when y = 6? 0 8 O 9 O 27 O 36​
    15·2 answers
  • A 1991 study at Ataturk University in Turkey showed that 50% of cats were right-pawed, 40% of cats
    8·1 answer
  • Round 218 to the nearest ten
    7·2 answers
  • Find the value of X:
    12·1 answer
  • Benjamin works at a printing company. He is making T-shirts for a high school volleyball team. The press he runs can imprint 3 T
    8·1 answer
  • Help me with number 8 plz
    10·1 answer
  • Find the equation of a parabola with a focus at (0,–1) and a directrix at y = 4.
    13·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!