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
irakobra [83]
3 years ago
8

Geometry math question

Mathematics
1 answer:
Brut [27]3 years ago
7 0

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}

Solve for y from first proportion

\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a

Substitute to the second proportion

\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25

Answer: B. 25

You might be interested in
Find the complete factored form of the polynomial 9ab^5+6a^3b^4
notsponge [240]
9ab^5+6a^3b^4 

GCF=3ab^4 

3ab^4( \dfrac{9ab^5}{3ab^4} +  \dfrac{6a^3b^}{3ab^4} ) 

3ab^4(3b+2a^2)
6 0
3 years ago
A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?
ra1l [238]
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall
8 0
3 years ago
Solve x^2 + 5x+6 = 0
prisoha [69]

Answer:

X=-2or,-3

Step-by-step explanation:

X^2+5x+6=0

or,x^2+(2+3)x+6=0

or,x^2+2x+3x+6=0

or,x(x+2)+3(x+2)=0

or,(x+3) (x+2)=0

Either,

x+3=0 x+2=0

or,x=-3 or,x=-2

Therefore,the value if x is -2 or -3 .

I HOPE IT WILL HELP YOU

7 0
3 years ago
-4/5 + (-3/8) = what
uysha [10]

Answer:-47/40

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Two similar triangles have areas of 18 and 32 find the ratio of their perimeters
tia_tia [17]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{smaller}{larger}\qquad \cfrac{s^2}{s^2}=\cfrac{18}{32}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{18}{32}\implies \cfrac{s}{s}=\sqrt{\cfrac{18}{32}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{18}}{\sqrt{32}}\implies \cfrac{s}{s}=\cfrac{\sqrt{9\cdot 2}}{\sqrt{16\cdot 2}}\implies \cfrac{s}{s}=\cfrac{\sqrt{3^2\cdot 2}}{\sqrt{4^2\cdot 2}}\implies \cfrac{s}{s}=\cfrac{3\sqrt{2}}{4\sqrt{2}}
\\\\\\
\cfrac{s}{s}=\cfrac{3}{2}
6 0
3 years ago
Other questions:
  • How do I find out how to work out , y=mx+c ???
    14·2 answers
  • Write the prime factorization of 10. Use exponents when appropriate and order the factors from least to greatest (for example, 2
    10·1 answer
  • Which is the slope of the line y=−3x+2?
    15·1 answer
  • Please help me with questions 8-13 I need help this is for a grade
    6·1 answer
  • Which equation or inequality represents the given statement?
    11·1 answer
  • If you make 8$ an hour and get a 10% raise what is your new hourly pay?
    15·1 answer
  • Hurry plz yeyeyeyeyyeye
    13·1 answer
  • HELPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEE<br><br><br><br> (on both of them please))))
    8·2 answers
  • Please help me with this question I’m doing points
    9·2 answers
  • Solve the inequality -d ≥ 0.5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!