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
Rufina [12.5K]
3 years ago
13

Please help! This is Geometry I don't know what to do​

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

\huge\boxed{x=6}

Step-by-step explanation:

\triangle ABC\ \text{and}\ \triangle ADB\ \text{are similar (AA). Therefore corresponding sides are in proportion.}\\\\\dfrac{BD}{BC}=\dfrac{AB}{AC}\\\\\text{We have}\\\\BD=x\\BC=10\\AB=7.5\\AC=12.5\\\\\text{Subtitute:}\\\\\dfrac{x}{10}=\dfrac{7.5}{12.5}\\\\\dfrac{x}{10}=\dfrac{7.5\cdot10}{12.5\cdot10}\\\\\dfrac{x}{10}=\dfrac{75:25}{125:25}\\\\\dfrac{x}{10}=\dfrac{3}{5}\qquad|\text{cross multiply}\\\\(5)(x)=(3)(10)\\\\5x=30\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{30}{5}\\\\x=6

You might be interested in
write sixty-nine million fifty-eight thousand, two hundred nineteen and three hundredths in standard form show your work will ma
KIM [24]
69,058,219.03

In standard form,

6.905821903 \times  {10}^{7}
6 0
3 years ago
Brine is a solution of salt and water. If a tub contains 50 gallons of a 5% solution of brine, how much water must
Nuetrik [128]

Let w be the amount of water that evaporates. At the start, the solution in the tub consists of 2.5 gallons of salt (5% of 50 gallons). After w gallons of water evaporates, we're left with a solution with total volume 50-w gallons, and 8% of this amount should be salt, or 0.08(50-w) gallons of salt. The amount of salt in the tank before and after evaporation remains unchanged, so

2.5=0.08(50-w)\implies2.5=4-0.08w\implies0.08w=1.5\implies\boxed{w=18.75}

gallons of water need to be evaporated.

8 0
3 years ago
Drag each description to the correct location to complete the flow chart proof. Given: . D is the midpoint of . . Prove: is an i
prisoha [69]

The isosceles triangle is proved below.

<h3>How to illustrate the triangle?</h3>

The complete information wasn't found. The proofing of the triangle will be illustrated. It should be noted that the angles opposite to the equal sides of an isosceles triangle are also equal.

Proof: Consider an isosceles triangle ABC where AC = BC.

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

We first draw a bisector of ∠ACB and name it as CD.

Now in ∆ACD and ∆BCD we have,

AC = BC                                                                (Given)

∠ACD = ∠BCD                                                    (By construction)

CD = CD                                                               (Common to both)

Thus,  ∆ACD ≅∆BCD                                        (By SAS congruence criterion)

So, ∠CAB = ∠CBA                                              (By CPCT)

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

8 0
2 years ago
The number of people afflicted with the common cold C in the winter months steadily decreased by 202 each year from 2005 until 2
bulgar [2K]

Answer:

C(t)=-202t+12,073

Step-by-step explanation:

Let t represent the number of years since 2005.

We have been given that the number of people afflicted with the common cold C in the winter months steadily decreased by 202 each year from 2005 until 2010.

The number of people decreased in t years would be 202t.

We are also told that in 2005, 12,073 people were afflicted. So 12,073 will be initial value.

We will represent our given information in an equation as y=mx+b, where,

m = Slope of line,

b = The initial value.

Since the number of people afflicted with the common cold C in the winter months steadily decreased, so slope will be negative.

Substitute the given values:

C(t)=-202t+12,073

Therefore, our required equation would be C(t)=-202t+12,073.

6 0
3 years ago
The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue ma
Travka [436]
Less than 81 is from 80 to 1
that is 80 numbers
80/100=8/10=80%
80%
or a number writtten in red
50/100 are red
50% are red
it says or so it cannot be both
80%-50%=30%

answer is 30%
7 0
4 years ago
Other questions:
  • Goals and purpose of the BIA – unique to your scenario b. Summary of Findings – business functions and assessment c. Prioritizat
    8·1 answer
  • Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply. One of the factors is
    5·1 answer
  • Nina and Phillip cut Mr.Furgusons's lawn. NINA worked alone on her half, but Phillip shared his half equally with his friends, E
    8·1 answer
  • the sum of the measures of the interior angles of the parallelogram is 360° write and solve an equation to find the value of the
    12·1 answer
  • There are about 1.5 grams of fat in 1 tablespoon of hummus. How many grams of fat are in 2 1/2 cups of hummus? ( Note: 16. Table
    11·2 answers
  • Estimate the quotient for 317÷42 a.3 b.6 c.7 d.8
    6·1 answer
  • william bought paint brushes for his remodeling project.He saw 3 shelves with 6 paint brushes on each shelf.The paintbrushes are
    15·1 answer
  • Complete the equation of the line whose y-intercept is (0,5) and slope is -9<br><br><br>y= ???​
    11·1 answer
  • Suppose the population of a town is 9800 and is growing 4% each year a. Write an equation to model the population growth b. Pred
    15·1 answer
  • Helppp me Please!!!!! :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!