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
kodGreya [7K]
3 years ago
10

HELPPP ME ASAPPPP PLEASEEE!!

Mathematics
1 answer:
kaheart [24]3 years ago
7 0

y = 90°

Solution:

The reference image for the answer is attached below.

The sum of opposite interior angles is equal to the exterior angles.

m∠BAC + m∠ACB = 110°

m∠BAC + 70° = 110°

m∠BAC = 110° –  70°

m∠BAC = 40°

m∠BAD + m∠DAC = 40°

x + x = 40°

2x = 40°

Divide by 2 on both sides of the equation.

x = 20°

In triangle DAC,

Sum of all the angles of a triangle = 180°

m∠DAC + m∠ACD + m∠CDA = 180°

20° + 70° + m∠CDA = 180°

90° + m∠CDA = 180°

m∠CDA = 180° – 90°

m∠CDA = 90°

∠CDA and y lies on the straight line. So they form a linear pair.

y + m∠CDA = 180°

y + 90° = 180°

y = 180° – 90°

y = 90°

The value of y is 90°.

You might be interested in
A 4-column table with 3 rows. The first column has no label with entries before 10 p m, after 10 p m, total. The second column i
MArishka [77]

Answer:

the answer is A=0.1 and B=0.85

Step-by-step explanation:

just took the test on edge

5 0
3 years ago
Read 2 more answers
QUESTION IN THE ATTACHMENT
eimsori [14]

Answer:

A. The sum of the first 10th term is 100.

B. The sum of the nth term is n²

Step-by-step explanation:

Data obtained from the question include:

Sum of 20th term (S20) = 400

Sum of 40th term (S40) = 1600

Sum of 10th term (S10) =..?

Sum of nth term (Sn) =..?

Recall:

Sn = n/2[2a + (n – 1)d]

Sn is the sum of the nth term.

n is the number of term.

a is the first term.

d is the common difference

We'll begin by calculating the first term and the common difference. This is illustrated below:

Sn = n/2 [2a + (n – 1)d]

S20 = 20/2 [2a + (20 – 1)d]

S20= 10 [2a + 19d]

S20 = 20a + 190d

But:

S20 = 400

400 = 20a + 190d .......(1)

S40 = 40/2 [2a + (40 – 1)d]

S40 = 20 [2a + 39d]

S40 = 40a + 780d

But

S40 = 1600

1600 = 40a + 780d....... (2)

400 = 20a + 190d .......(1)

1600 = 40a + 780d....... (2)

Solve by elimination method

Multiply equation 1 by 40 and multiply equation 2 by 20 as shown below:

40 x equation 1:

40 x (400 = 20a + 190d)

16000 = 800a + 7600. ........ (3)

20 x equation 2:

20 x (1600 = 40a + 780d)

32000 = 800a + 15600d......... (4)

Subtract equation 3 from equation 4

Equation 4 – Equation 3

32000 = 800a + 15600d

– 16000 = 800a + 7600d

16000 = 8000d

Divide both side by 8000

d = 16000/8000

d = 2

Substituting the value of d into equation 1

400 = 20a + 190d

d = 2

400 = 20a + (190 x 2)

400 = 20a + 380

Collect like terms

400 – 380 = 20a

20 = 20a

Divide both side by 20

a = 20/20

a = 1

Therefore,

First term (a) = 1.

Common difference (d) = 2.

A. Determination of the sum of the 10th term.

First term (a) = 1.

Common difference (d) = 2

Number of term (n) = 10

Sum of 10th term (S10) =..?

Sn = n/2 [2a + (n – 1)d]

S10 = 10/2 [2x1 + (10 – 1)2]

S10 = 5 [2 + 9x2]

S10 = 5 [2 + 18]

S10 = 5 x 20

S10 = 100

Therefore, the sum of the first 10th term is 100.

B. Determination of the sum of the nth term.

First term (a) = 1.

Common difference (d) = 2

Sum of nth term (Sn) =..?

Sn = n/2 [2a + (n – 1)d]

Sn = n/2 [2x1 + (n – 1)2]

Sn = n/2 [2 + 2n – 2]

Sn = n/2 [2 – 2 + 2n ]

Sn = n/2 [ 2n ]

Sn = n²

Therefore, the sum of the nth term is n²

6 0
3 years ago
10 PTS AND MARK BRAINLEST!!!! PLZZZZ HELLLPPP!!!!
serg [7]
Ok so the first one is 225 miles but i can't do the graph
and i'm not great at math so give me a bit


4 0
3 years ago
For question 3, is it right though? Thankss
pishuonlain [190]

Yes it is correct, 7/12 is the equivalent to C. 7 divided by 12

8 0
3 years ago
What is 7 to the power of -4
Andrej [43]
<span>0.00041649312 on a calc unless u wanna simplify :)

hope i helped best of luck :)

</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • a number rounded to the nearest hundred thousand is 400,000.the same number rounded to the nearest ten thousand 350,000.what cou
    6·1 answer
  • An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
    15·1 answer
  • How to skip videos on Eduinity:
    13·1 answer
  • If the velocity of a car traveling in a straight line at time v(t) then the difference in its odometer readings between time t=a
    10·1 answer
  • Olive Oil costs $8.70 per liter. A restaurant owner buys 5.6 liter of olive oil. How much does the owner pay?
    10·1 answer
  • James has eleven apple and he subtracts and divide how many apples does he have
    12·1 answer
  • How many acute angles are shown in this figure?
    15·2 answers
  • School play: There are 48 students in a school play. The ratio between boys and girls is 5: 7. How many more girls than boys are
    15·1 answer
  • Adding decimals<br> 2.134 + 345.04 = ?
    9·2 answers
  • List all of the terms in equation (x - 5)(2x + 3)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!