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
Airida [17]
2 years ago
7

The diagram shown is two intersecting lines. The measure of 5 is 47°.

Mathematics
1 answer:
Bingel [31]2 years ago
5 0

Answer:

a) 37º

b) 143º

c) 2x - 5 = 143

Step-by-step explanation:

a) Angles 5 and 7 are vertical angles and therefore have the same measurements.

b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.

c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.

You might be interested in
Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

8 0
3 years ago
Use the relative row frequencies in the table below to answer the question. Movie Preference Action Drama Science- Fiction Comed
Arte-miy333 [17]
No, I would not predict her favorite category is action.

If you look at the percents for the female categories, action is not the highest. The highest category is Comedy. If you have to make a prediction, it would be best to go with Comedy because it is the highest.
4 0
3 years ago
Read 2 more answers
A Family spends 240.00 per week on food. If this is 16% of their income, what is the families weekly income?
nexus9112 [7]
Answer: The family's weekly income is $1500

-------------------------------------------

Work Shown:

x = weekly income (in dollars)

16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500

5 0
3 years ago
1/4+1/2=____<br> Simplest form
LUCKY_DIMON [66]

Hello!

To find our answer, we first convert 1/2 into fourths. We multiply it by 2/2, giving us 2/4.

2/4+1/4=3/4

Therefore, our answer is \boxed {\frac{3}{4}}.

I hope this helps!

8 0
3 years ago
Read 2 more answers
at a conference of 250 people, 30% of the participants are french, 35% are americans, 20% are germans, and the rest are of the o
Lady bird [3.3K]
Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries

3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6

0.6(250) = 150 students <===
5 0
3 years ago
Other questions:
  • Write the SLOPE-INTERCEPT FORM equation given a slope of -1/2 and the point (6,-1).
    6·1 answer
  • Two numbers have a difference of 0.7 and a sum of 1. What are the numbers?
    15·2 answers
  • Systems of equations pls help!
    15·1 answer
  • Thomas, a very talented builder, was putting a fence in the play area in his yard for his dogs. If he wants it to be square, and
    13·1 answer
  • Your bowling ball weighs 14 pounds. How much does it weigh in ounces?
    14·2 answers
  • Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment,
    7·1 answer
  • Which inverse trig function could I use to solve this problem?
    13·1 answer
  • Evaluate (y - 9) + (3 + x), when y = 15 and x = 5
    5·2 answers
  • 36 pints of paint. They need divided into 11 small containers. If they are poured equally, how many pints of paint would b in ea
    5·1 answer
  • Solve the compound inequality for x and identify the graph of its solution.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!