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
Nady [450]
2 years ago
8

1) IF DE = 9, find BC

Mathematics
1 answer:
swat322 years ago
5 0

Answer:

1. BC = 18

2. m<ABC = 80°

3. x = 5

Step-by-step explanation:

1. If DE = 9, therefore:

BC = 2 \times 9 = 18 (based on the midsegment theorem, DE is half the length of the third side, BC)

2. m<ADE = 80°, then,

m<ABC = 80°

This is because m<ADC and m<ABC are corresponding angles. Corresponding angles are congruent.

3. DE = 2x + 7 , and BC = 7x - 1, find BC

Thus:

BC = 2 \times DE (midsegment theorem)

7x - 1 = 2 \times (2x + 7) (substitution)

Solve for x

7x - 1 = 4x + 14

Collect like terms

7x - 4x = 1 + 14

3x = 15

Divide both sides by 3

x = 5

You might be interested in
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
hichkok12 [17]

Answer:

2\pi(e^2-e^{-4})

Step-by-step explanation:

We are given: f(x)=2e^x

So, the integral will be used to calculate the volume.

V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})

5 0
3 years ago
Can someone plz help me with this one problem plzzz!!!
tresset_1 [31]

so, you just use the x's from the table and plug them into the equation to find the y.

y=(1)+9

y=10

y=(2)+9

y=11

y=(3)+9

y=12

y=(4)+9

y=13

i hope this helps :)

6 0
3 years ago
At a certain toy store, tiny stuffed zebras cost $3 and giant stuffed zebras cost $14. The store doesn't sell any
stepan [7]

Answer:

<h2><em><u>60</u></em></h2>

Step-by-step explanation:

tiny stuffed zebras(tsz)= $3

giant stuffed zebras(gsz)=$14

total sold=$208

208÷3=69.3recurring so that's incorrect as you cannot sell .3 of a zebra so keep going until you find the next whole number. (trial and error)

207÷3=69 but it cant be this as it is not the whole money made

208-14=194

194÷3=64.6recurring (cannot be this)

194-14=180

180÷3= 60 = answer as 60 tsz is $180 and add that to 2 gsz and that totals to 208 which is the total

3 0
3 years ago
List the factors of 48 and 54
sergeinik [125]
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

54: 1, 2, 3, 6, 9, 18, 27, 54

gcf: 6
4 0
3 years ago
If you can do all three questions I’ll mark you brainlest!! Thanks &lt;3
Verdich [7]

Answer:

1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.

2. rate needed = 12/6; unit rate = 2/1;  Need 2 cups of water for every scoop of fruit mix.

3. 70 minutes

Step-by-step explanation:

1.  Set up a ratio

3white/2blue = xwhite/6blue

3/2 = x/6

cross multiply 2x = 18; x = 9

rate needed = 9/6

Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_

2. 3/1.5 = x/6

1.5x = 18; x = 12

rate needed = 12/6

unit rate = 2/1

3. Set up a ratio.

3.5/.25 ( 1/4=.25)

3.5/.25 = x/5

.25x = 3.5(5)

.25x = 17.5

x = 70 minutes

5 0
2 years ago
Read 2 more answers
Other questions:
  • Find the value of two numbers if their sum is 78 and their difference is 22.
    12·1 answer
  • if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!
    15·1 answer
  • What is the square root of 12?<br>​
    9·2 answers
  • Find the slope from the given equation. 9y = -3x + 5
    8·2 answers
  • the number line at the right models an addition sentence select all the situations below could be modeled by the addition senten
    8·1 answer
  • A bag contains 5 RED beads, 3 BLUE beads, and 4 GREEN beads. If a single bead is picked at random, what is the probability
    13·1 answer
  • Martin bought a new tv for $1800 in 2015. It loses its value by 6.5% per year. What will the value of the tv be in 2021?
    15·1 answer
  • Solve This Proof PLEASE
    8·1 answer
  • There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are th
    5·2 answers
  • Please help! the questions are in the photo.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!