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
kakasveta [241]
3 years ago
7

Can somebody help me, please?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

Answer:

a.x=10 \textdegree

b.

m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree

Since, the m∠K is a right angle, it measures 90°

You might be interested in
An 11-ft ladder leans against the side of a house. The bottom of the ladder is 9-ft from the side of the house. How high is the
bulgar [2K]

Answer:

6.3 ft.

Step-by-step explanation:

This requires the pythagorean theorem: a^2+b^2=c^2 where "a" and "b" are legs and c is the hypotenuse(longest side of the triangle which is opposite to the 90 degree angle.) If we fill the equation where c is the ladder length(11) and "a" is the distance from the house(), and "b" is the height, 9^2+b^2=11^2 or 81+b^2=121. This is equivalent to b^2=40. b=6.3 when rounded to the nearest tenth.

4 0
3 years ago
Which of the following is equivalent to the expression 2x + 3x +4x (x-2)
Alex787 [66]

Answer:

a

Step-by-step explanation:

add and the take the parathesis out and there you have ur answer

4 0
3 years ago
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
IRISSAK [1]

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

7 0
2 years ago
HELP ASAP Keiko divided 5 cups of milk into 1/4 cup portions. How many 1/4 cup portions did Keiko have???
Anarel [89]

Answer:

20

Step-by-step explanation:

Given data

Number of cups= 5 cups

Number of portions= 1/4 portions

Hence the number of 1/4 portion can be gotten as

=5/1/4

=5*4/1

=20

Therefore, the number of 1/4 portions is 20

7 0
3 years ago
R(r1+r2)=r1r2<br> How do I solve for r
Studentka2010 [4]
The answer is r = 0,3

7 0
3 years ago
Other questions:
  • Nora uses 2 feet of ribbon to make a bow. She has 8 yards of ribbon. how many bows can she makes?
    12·1 answer
  • A sledgehammer weighs 18 pounds on Earth and 4 pounds on the planet Namar. Which of the following proportions could you use to d
    15·1 answer
  • Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
    12·2 answers
  • A boat travels for 4 hours at a constant speed of 35.25 km/h.
    10·2 answers
  • The force pulling a truck downhill is 2,000N, the mass of the truck is 40,000 kg. What is the acceleration?
    10·1 answer
  • What would -9 1/2 be as a decimal?
    15·2 answers
  • Lexie bought a new car for $32,000. It
    9·1 answer
  • Which inequality best represents that ice cream at −3°C is cooler than ice cream at 1°C?
    9·1 answer
  • Three friends go to a book fair. Allen spends $2.40. Maria spends 4 times as much as Allen. Akio spends $3.45 less than Maria. H
    7·1 answer
  • Can anyone please help me with this question ????
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!