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
Bas_tet [7]
1 year ago
14

Unfortunately I still have school could anybody help me please? MATH 2 Standard G-SRT.8.1

Mathematics
1 answer:
sammy [17]1 year ago
5 0

Answer:

t = 6

∠BAC = ∠EAD = 6°

∠BCA = ∠ABC = ∠AED = ∠EDA = 87°

Step-by-step explanation:

From inspection of the diagram, we can see that there are 2 triangles inside a circle.  One of the vertices of both triangles is at the center of the circle. The other vertices of both triangles are on the circumference of the circle.

The dashes on the line segments (chord) mean they are <u>equal in length</u>.

⇒ BC = DE

The legs of both triangles are the radius of the circle.

Therefore, ΔABC = ΔAED

This means the ∠BAC = ∠EAD, therefore:

⇒ 6t - 12 = 18 - 4t

⇒ 10t - 12 = 18

⇒ 10t = 30

⇒ t = 3

Substituting the found value of t into one of the expressions to find ∠BAC and ∠EAD:

⇒ ∠BAC = ∠EAD = 6(3) - 12 = 6°

Triangles ΔABC and ΔAED are both isosceles triangles (as they have 2 sides of equal length: the radii).

Therefore, the remaining 2 angles in each triangle will be <u>equal</u>.

The sum of interior angles of a triangle = 180°

⇒∠BAC + 2(∠BCA) = 180°

⇒ 6° + 2(∠BCA) = 180°

⇒ 2(∠BCA) = 174°

⇒ ∠BCA = 87°

Therefore, as ∠BCA = ∠ABC = ∠AED = ∠EDA

all the other angles are 87°

You might be interested in
Find the area of the circle with the following dimension Radius = 5 in The area is : in2 (Round to the nearest tenth as needed.)
tigry1 [53]

Answer:

Can u repeat the question. I didn't understand the area.

6 0
2 years ago
He equation 2x + 8 = 2(x + 5) has
Illusion [34]

Answer:

No solution.

Step-by-step explanation:

The equation 2x + 8 = 2(x + 5) has no solution  as we see if we simplify it:

2x + 8 = 2x + 10

2x - 2x = 10 -8

0 = 2 which is absurd.

6 0
3 years ago
Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine
Paladinen [302]

Answer:

a) 117.4

b) 117.9

c) Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A)  When there is rounding or grouping, the median can be highly sensitive to small change

7 0
3 years ago
Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.
algol [13]

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

6 0
3 years ago
Joan puts $400 into a bank account. Each year the account earns 7% simple interest. How much interest will be earned in four yea
Sladkaya [172]

$60

400 ÷ 7 = 57. 1428571429

Since that's not an option we estimate it. The closest number is $60 so, there's your answer!

I hope this helps! sorry if it's wrong :(

~ Kana ^^

3 0
2 years ago
Other questions:
  • Write an equation for a polynomial function whose graph intercepts the
    11·1 answer
  • 2x+30=5x+9 Solve for x<br> O 6<br> 0 -7<br> O -6<br> What’s the answer please?
    14·2 answers
  • Solve the equation sin2x = 3cos2x. The value of x that satisfies the equation if x lies in the second quadrant is °. The value o
    9·1 answer
  • Find the area of the shape shown below.
    9·1 answer
  • 6th grade math help me pleaseee
    6·2 answers
  • Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation
    6·1 answer
  • 4. Identify each of the following as a carbohydrate, lipid, protein, or nucleic acid.
    5·1 answer
  • 940 in scientifc form
    9·2 answers
  • Which expression is equivalent to 2 x + 4 ?
    14·1 answer
  • Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!