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
andriy [413]
3 years ago
9

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin

e tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0
Let f be the height of the fir trees
Let p be the height of the pine trees

We know from the problem that
f + p = 21  and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation

so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree

substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree
You might be interested in
Someone help me with this
skad [1K]

Answer:

m∠ABC = 74

Step-by-step explanation:

The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °

So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74

The measurement of angle ABC is 74°

7 0
3 years ago
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

7 0
3 years ago
HELP PLZS FAST BRAINIEST
kirill115 [55]

Answer:

x=-2, y=-2. (-2, -2).

Step-by-step explanation:

2x-5y=6

-2x+10y=-16

-------------------

5y=-10

y=-10/5=-2

2x-5(-2)=6

2x+10=6

2x=6-10

2x=-4

x=-4/2=-2

3 0
2 years ago
Read 2 more answers
Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) f
aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

Let a = (12,5) and b =(13,-8)

The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

⇒ D  = |b|-|a|

⇒ D  = \sqrt{13^2+(-8)^2} -\sqrt{12^2+5^2}

⇒ D  = \sqrt{233} -\sqrt{169}

⇒ D  =15.26 -13

⇒ D  =2.6

Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .

4 0
3 years ago
Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which s
7nadin3 [17]

any perpendicular bisector of one of the sides".

We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Who can help me out
    6·2 answers
  • What is 10 dived by 5 thirteenths
    14·1 answer
  • What is the percent of change from 2000 to 300?
    13·1 answer
  • Tyler simplified the expression x^-3 y^-9. His procedure is show below.
    11·2 answers
  • Please help or else i will fail rn
    8·1 answer
  • Someone please help me
    13·1 answer
  • Please Help Me!!!!!!!
    5·2 answers
  • 1.
    7·1 answer
  • Im so confused… PLEASE HELP.. also sorry its so dark but its 6,6
    7·2 answers
  • Help<br><br><br><br><br><br> 4/10 as a decimal
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!