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
Darya [45]
3 years ago
13

In rectangle abcd, points p and q lie on side AB and DC respectively. Angle PMQ is a right angle, M is the midpoint of side BC a

nd PB=4/3 BC. What is the ration PM: MQ

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

PM:MQ = 8:3.

Step-by-step explanation:

\rm \angle B\hat{M}P + 90^{\circ} + \angle C\hat{M}Q = 180^{\circ};

\implies \rm \angle B\hat{M}P + \angle C\hat{M}Q = 90^{\circ};

\implies \rm 90^{\circ} - \angle B\hat{M}P = \angle C\hat{M}Q.

Also,

\rm \angle B\hat{P}M = 90^{\circ} - \angle B\hat{M}P in right triangle PBM.

Thus \rm \angle{P\hat{B}M} = \angle C\hat{M}Q.

Additionally \rm \angle \hat{B} = 90^{\circ} = \angle \hat{C}.

Therefore \rm \triangle PBM \sim \triangle MCQ.

\rm \displaystyle BC = 2\;MC for M is the midpoint of segment BC.

\rm \displaystyle PB = \frac{4}{3}BC = \frac{8}{3}MC.

\rm \triangle PBM \sim \triangle MCQ implies that

\displaystyle \rm PM:MQ = PB:MC = 1:\frac{8}{3} = 8:3.

You might be interested in
Please help :(((((((! <br> Which expression is equivalent to 3/64a6b7c9?
erastova [34]

Answer:

3b^7a^6c^9/64

Step-by-step explanation:

7 0
3 years ago
Choose the option that best answers the question. Paracelsus University has two kinds of professors: academic professors and pro
NARA [144]

Answer:

percentage of professional professor are 75

Step-by-step explanation:

Given data

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

to find out

what percent of the professional professors

solution

we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40

because here

total = A + P - both

90 = 60 + 70 - both

both = 40

so professors  tenured will be here 70 - 40 = 30

so

percentage of professional professor are = 30 / 40 × 100

percentage of professional professor are 75

5 0
3 years ago
A rectangular kitchen is twice as long as it is wide, and it’s perimeter is 84 feet. Find the dimensions of the kitchen
Stells [14]
So since the kitchens long is wide x 2 if you add the 2 longs it makes a wide so you end up with 3 wides technically. So you divide 84 by 3 and u get 28 so make your 2 wides 28. Then u divide 28 by 2 to get 14 so your longs are 14 and your wides are 28 if u add it all together it’s 84.
6 0
3 years ago
Triangles WSR and TVR are similar. Find x.
Vlad [161]

They are similar. Set the proportions equal to each other

(x + 8)/8 = (x+14)/12

Cross multiply

(x + 8)/8 (8)(12) = (x + 14)/12 (12)(8)

12(x + 8) = 8(x + 14)

Distribute the 12 and 8 to the corresponding monomials inside the parenthesis

12(x + 8) = 12x + 96

8(x + 14) = 8x + 112

12x + 96 = 8x + 112

Isolate the x. Subtract 8x from both sides and 96 from both sides

12x (-8x) + 96 (-96) = 8x (-8x) + 112 (-96)

12x - 8x = 112 - 96

4x = 16

Isolate the equal sign. Divide 4 from both sides

4x/4 = 16/4

x = 16/4

x = 4

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

4 is your answer for x

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

hope this helps

5 0
3 years ago
A rectangle is 51.6 cm tall and 45.6 cm wide. If it is reduced to a width of 3.8 cm, then how tall will it be?​
MA_775_DIABLO [31]

Answer:

jjdttfyuy

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 210,704 in equivalent Form
    5·1 answer
  • Exponential form of log4 4=1
    14·1 answer
  • I don’t understand this at all
    9·1 answer
  • HELP NEEDED!!! NOW PLZ
    13·1 answer
  • Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x-6)^2-5=0 lesser x= , greater x=​
    11·1 answer
  • Pls help asap no wrong answer pls
    10·2 answers
  • mya average 86 points on five tests. what would she have to score on the sixth test to bring her average up by one point
    15·2 answers
  • Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th gr
    6·1 answer
  • Find the value of x, given that the two triangles are similar.​
    14·2 answers
  • Assume the demand for widgets is linear. Suppose we know the demand is = 100 widgets when the price is = $3 per widget but the d
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!