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
Fofino [41]
3 years ago
5

The measure of ∠BCD is 120°. The measure of ∠ABC is 85°. What is measure of ∠BAC?

Mathematics
2 answers:
Ivanshal [37]3 years ago
6 0

First of all, triangles angles add up to 180 degrees.

BCD=120. To find BCA subtract 180-120 to get 60 degrees.

We know what ABC is, it equals 85, so far we have 2 angles.

Lets add them up,  85+60=145

Since the angles must add up to equal 180 we're going to subtract 180-145

Which equals 35, BAC=35 degrees.

-Seth




devlian [24]3 years ago
3 0

Answer:35°

Step-by-step explanation:

<BCD + <C = 180° (angle on a straight line )

120° + <C = 180°

<C = 180° - 120° = 60°

<BAC + <ABC + <C = 180° (sum of interior angles of a triangle)

<BAC + 85° + 60° = 180°

<BAC + 145° = 180°

subtract 145° from bothsides

< BAC = 180° - 145° = 35°

You might be interested in
Delta math helpppp!!!!!!!!!
jasenka [17]
Neither parallel nor perpendicular


Hope this helps! :D
7 0
3 years ago
A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected
bija089 [108]

Solution:

we are given that

A jury pool consists of 50 potential jurors.

Wee have been asked to find the number of ways can a jury of 12 be selected.

As we know from the concept of combination that r person can be selected out of n in ncr ways. where

n_C_r=\frac{n!}{r!(n-r)!}

Now substitute the values we get

{50}_C_{12}=\frac{50!}{12!(50-12)!}\\&#10;\\&#10;{50}_C_{12}=\frac{50!}{12!38!}\\&#10;\\&#10;{50}_C_{12}=121399651100\\

Hence the required number of ways is 121399651100

5 0
3 years ago
The cheerleader section is on the basketball court. Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards. How man
Lady_Fox [76]

Answer:

The area of the floor space is equal to 5.83 sq yards.

Step-by-step explanation:

Given that,

Each row requires a section of floor that is 1 ¾ yards by 3 ⅓ yards.

We need to find how many square yards of floor space are taken up by one row of cheerleaders.

We know that, the area of a rectangle is given by :

A = lb

So,

A=\dfrac{7}{4}\times \dfrac{10}{3}\\\\A=5.83\ yards^2

So, the area of the floor space is equal to 5.83 sq yards.

5 0
3 years ago
An interior designer purchased 4 1/2 yards, 6 2/3 yards and 9 1/4 yards of fabric to make curtains How many yards of fabric did
ArbitrLikvidat [17]
Simply add up all.

4  1/2  +    6  2/3  + 9  1/4

(4 + 6 + 9) +    1/2  + 2/3 + 1/4

19                    6/12 + 8/12 + 3/12 = (6+8+3)/12 = 17/12

19      17/12
 
19       1 5/12

19 + 1  5/12

= 20   5/12

20   5/12    yards was purchased.  
4 0
3 years ago
Read 2 more answers
Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
Other questions:
  • You are leaving for a party at your cousin’s house in a city that is 150 km away. You will travel at an average rate of 50 km/hr
    14·2 answers
  • If f(x)=x2-25and g(x)=x-5 ,what is the domain of (f/g)(x)?
    6·1 answer
  • 16 1/2 to whole number
    11·1 answer
  • Find the length of the line segment with end points of 19 and -39
    13·2 answers
  • Studies show that the correlation between iqs measured at age 8 and age 10 is ______ the correlation between iqs measured at age
    6·1 answer
  • How do you turn 6x-5y=8 into slope intercept form?
    14·1 answer
  • Simplify the expression -3/8(-4y+z)
    9·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST AND RATE 5 STARS PLUS 50 POINTS!!
    7·1 answer
  • Mr. Rosart selects two students from his class to present their book reports. He places the names of each student in a box and r
    12·2 answers
  • What amount would u have if u deposited 1800 a year for 30 years at 7% compounded annually
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!