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
telo118 [61]
3 years ago
13

^DEF and ^RSQ are shown in the diagram below

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

You might be interested in
Solve each given equation and show your work.
Eduardwww [97]

Answer:

(a) x = 3

(b) y = 6

(c) false/not true

(d) x = 5

Step-by-step explanation:

(A) 2 + x = 5 You would subtract the 2 from both sides which gives you x = 3

(B) 8y = 48 You would divide 8 from both sides which is 6 so y = 6

(C) 23 = 26 That is not true because 23 does not equal 26

(D) -7x - 3x + 2 = -8x - 8 First simplify the equation; -10x + 2 = -8x - 8. Next, you want to subtract 2 from both sides which gives us -10x = -8x - 10. Now you want to add 8x to both sides which is -2x = -10. And now you just divide -2 on both sides which gives us the answer 5. So, x = 5. I hope this helps. Let me know if one of the answers are incorrect.

3 0
3 years ago
I neeed helpppppppppppppppp
Stolb23 [73]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ Jeff will earn $267.20 in a 32 hour week.

Divide to find how much he gets paid per hour:

$334 ÷ 40 = $8.35

Multiply the cost per hour by 32 hrs to get the total amount he'll get paid:

$8.35 × 32 = $267.20

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

5 0
3 years ago
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l
Lynna [10]

Answer:

eh width = 103.5 inches

Step-by-step explanation:

x = width

Length = (x/2 - 5 )*6

so 384=x+3x-30

414=4x

x=414/4=103.5 inches

5 0
3 years ago
HELPPP PLEASE ASAP...............................
maxonik [38]
There are 108 that are cows
4 0
3 years ago
Read 2 more answers
G(x) = x2 − 4, find g(5).
oksano4ka [1.4K]

Answer:

6

Step-by-step explanation:

g(x) = x2 - 4

g(5)= 5(2) - 4

g(5)= 10 - 4

g(5)= 6

Have a great day

6 0
3 years ago
Other questions:
  • A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro
    15·1 answer
  • What property is shown 7*(m+9)=(7*m)+(7*9)
    15·2 answers
  • Paul went to a movie and had 200$ to spend on himself and his friends.If a movie ticket costs 8$ and he wants to buy 40$ worth o
    11·1 answer
  • Please assist me with this math problem​
    7·1 answer
  • what are the values of a, b, and c in the quadratic equation –2x2 4x – 3 = 0? a a = 2, b = 4, c = 3 b a = 2, b = 4, c = –3 c a =
    13·2 answers
  • What two square roots does 40 squared lies between?
    7·2 answers
  • A rectangular park is w feet wide. Its length is 25 feet larger than its width. Record using algebra. What is the length of the
    7·2 answers
  • If the teacher has 30 students and 10% left,how much students does she have now
    10·2 answers
  • Click on the image above^
    12·2 answers
  • How do I do 1. e) PLEASE HELP I’LL GIVE BRAINEST
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!