Can someone help me on this please and thank you!

vladimir1956 [14]

9514 1404 393

Answer:

∠CAB = 28°

∠DAC = 64°

Step-by-step explanation:

What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.

Left

Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...

x + x + ∠AEB = 180°

2x = 180° -124° = 56°

x = 28°

The measure of angle CAB is 28°.

__

Right

Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.

∠BCA = ∠DAC = 64°

The measure of angle DAC is 64°.

(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)

8 0

3 years ago

Karen measured 20 cm between two points on the map

Aloiza [94]

Answer:

Answer:

D:100

Step-by-step explanation:

The answer would be 100 miles. Cause if you noticed the down right corner of the map tells you that 1 cm is 5 miles. So you would multiple 5 x 20 which is 100. 20x5 cm.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

I accidentally deleted my account for AnnieBarader15s

and pls mark brainliest I need one more for Virtuoso!

3 0

2 years ago

3 and 1/3 minus 2 and 5/6

Rama09 [41]

$3\dfrac{1}{3}-2\dfrac{5}{6}$

Find the common denominator

LCM(3, 6) = 6

$3\dfrac{1}{3}=3\dfrac{1\cdot2}{3\cdot2}=\3\dfrac{2}{6}\\\\3\dfrac{1}{3}-2\dfrac{5}{6}=3\dfrac{2}{6}-2\dfrac{5}{6}=2\dfrac{6+2}{6}-2\dfrac{5}{6}=2\dfrac{8}{6}-2\dfrac{5}{6}=(2-2)+\left(\dfrac{8}{6}-\dfrac{5}{6}\right)\\\\=\dfrac{8-5}{6}=\dfrac{3}{6}=\dfrac{3:3}{6:3}=\boxed{\dfrac{1}{2}}$

7 0

2 years ago

3. The sum of three consecutive integers is 1,623.

TiliK225 [7]

Answer:

540, 541, 542

Step-by-step explanation:

let the number be n

hence the 3 consecutive numbers may be expressed as:

n , n+1, n+2

it is given that the sum of the 3 numbers is 1623

hence,

n + (n+1) + (n+2) = 1623

n + n + 1 + n + 2 = 1623

3n + 3 = 1623

3n = 1623 -3

3n = 1620

n = 1620 / 3

n = 540

hence the numbers are

540, (540 + 1) , (540 + 2)

or

540, 541, 542

8 0

3 years ago

Read 2 more answers

__________ was a major figure in the studies of social interaction.

Radda [10]

Answer:

Erving Goffman

Step-by-step explanation:

George Herbert Mead behaviorism's theory believed that people develop self-images through interactions with other people, his four basic ideas of how the self (image and awareness) develop are: The self develop solely through social experience, social experience consist on the exchange of symbols, knowing other's intentions and understanding the role of the other results in self-awareness.
Charles Horton Cooley also believed in how self-image is influenced by the interaction with others, especially with significant others (person whose opinions matter to us and who influence our thinking)
Erving Goffman proposed the social action theory, he defends that human behavior depends on personal scenarios and relationships, this means we try to handle the impressions about us that others form. He is recognized for his major contributions to sociology, a pioneer of micro-sociology, or the close examination of social interactions in everyday life.
Jean Piaget developed the cognitive theory that explains how a child constructs a mental model of the world, it consists of building blocks of knowledge, adaptation processes that enable the transition from one stage to another and stages of cognitive development.

I hope you find this information useful and interesting! Good luck!

3 0

2 years ago