answer.
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
jarptica [38.1K]
2 years ago
5

4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3

5
Mathematics
2 answers:
Zepler [3.9K]2 years ago
8 0
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
dexar [7]2 years ago
8 0
<h2>Answer:</h2>

The angle that will be congruent to angle 4 is :

                              Angle 1

<h2>Step-by-step explanation:</h2>

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

<u>Congruent complementary Theorem--</u>

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

Hence, angle 1 and angle 4 will be congruent to each other.

You might be interested in
At a rally attended by 520 people, 30% were fantes, 25% were ewes, 15% were nzemas, 20% were gas and the rest were gonjas. How m
mariarad [96]

Answer:

No. of gonjas = 52

No. of more nzemas than fantes = 78

Step-by-step explanation:

Total no. of people = 520

No. of fantes = \frac{30}{100} × 520

No. of fantes = 156

No. of ewes = \frac{25}{100} × 520 = 130

No. of nzemas = \frac{15}{100} × 520 = 78

No. of gas = \frac{20}{100} × 520 = 104

No. of gonjas = 520 - (156 + 130 + 78 + 104) = 52

No. of fantes = 156

No. of nzemas = 78

No. of more nzemas than fantes = 156 - 78 = 78

Pie chart of the following problem is shown below.

5 0
2 years ago
Read 2 more answers
Wynona buys some new boots that are priced $85.79. She gets successive discounts of 10% followed by 5% off on the boots. The pur
ddd [48]

the correct answer is D

7 0
1 year ago
Read 2 more answers
A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
Natali5045456 [20]

Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

As more pure acid is added, the concentration of acid approaches 0.

5 0
2 years ago
Read 2 more answers
There are 8 circles and 20 squares. what is the simplest ratio of circles to total shapes
charle [14.2K]

Answer: 2:7 is your answer

8 0
1 year ago
23) An extension ladder forming a 60° angle with the ground is placed against
Pachacha [2.7K]

Answer: the length of the extended ladder is 8√3 feet or 13.9 feet

the distance between the wall and the bottom of the ladder is 4√3 feet or 6.9 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the extended length of the ladder h, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 60 = 12/h

√3/2 = 12/h

h = 12 × 2/√3 = 24√3

h = 24√3 × √3/√3

h = 8√3

To determine the distance between the wall and the bottom of the ladder d, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse.

Therefore,

Cos 60 = d/8√3

0.5 = d/8√3

d = 0.5 × 8√3

d = 4√3

3 0
1 year ago
Other questions:
  • Ms. Cassidy plotted the point (2, 3) on Miguel’s graph of y &lt; 2x – 4. She instructed him to change one number or one symbol i
    7·2 answers
  • The Bawden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 po
    11·3 answers
  • Suppose you earned 7t -1 dollars on monday and 8t + 5 on tuesday. what are your total earnings? simplify your answer
    8·1 answer
  • What's a mural with an area of 18m2
    12·1 answer
  • Students collected data about the capacities of their lungs by inflating balloons with a single breath. they measured the circum
    12·2 answers
  • Please help me to answer these questions!!
    6·1 answer
  • Which sentences highlight the protection of consumer rights? Steven and Samuel are managers in different retail stores. Steven a
    14·1 answer
  • A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
    15·2 answers
  • The Reverend Henry Whitehead was skeptical of John Snow's conclusion about the Broad Street pump. After the Broad Street cholera
    6·1 answer
  • ) Lucy, Soling, Kyan, and Daniel are ordering dinner for their families. Each person spends
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!