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
Karolina [17]
4 years ago
8

What is the measure of ∠SPQ in this rhombus? m∠SPR = (2x+13)° m∠QPR = (3x−12)°

Mathematics
2 answers:
RUDIKE [14]4 years ago
3 0
The measure of ∠SPQ in the rhombus PQRS, based on ∠ SPR = (2x+13)°, and ∠ QPR = (3x-12)°, is the sum of the two angles of ∠ SPR and ∠ QPR, which equal the whole or <span>∠</span> SPQ, in other words (2x+13)° + (3x-12)°.
Sphinxa [80]4 years ago
3 0

Solution:

In a Rhombus The diagonals bisect the angles.

m∠SPR=m∠QPR

Substituting the given values :

2x+13=3x-12

Subtracting 2x both sides:

13=3x-2x-12

13=x-12

Adding 12 both sides:

x=25.

m∠SPR=2x+13=2(25)+13=50+13=63

m∠SPQ=2∠SPR

m∠SPQ=2m∠SPR

m∠SPQ=2x63=126

m∠SPQ= 126 degrees

You might be interested in
A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid i
Temka [501]

Answer:

9.48

Step-by-step explanation:

Complete question

<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the​ pyramid?</em>

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = <em>h²+</em>8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

<em>Note that the value of the slant height was assumed to solve the problem</em>.

3 0
3 years ago
Name the property<br> cx1=c<br><br> 83+(52+17)=(83+52)+17<br> 22+b+18=b+22+18
jek_recluse [69]

Answer:

distributive property :)

6 0
3 years ago
-10/5+2(7-9)^2
Oksana_A [137]
Answer: -4

Reasoning: so first you need to subtract the 7 from the 9 to get -2. Then you square it to get 4 because a negative 2 times -2 is 4. Then you multiply the 4 by the 2 to get 8. You can simplify the -10/5 to -1/2 and multiply that by the 8 to get -8/2 which simplified out to -4.


I hope that helps.
8 0
3 years ago
Read 2 more answers
During science class,jimmy heated a substance and recorded the temperature of the substance over several minutes. He used the da
Elenna [48]

It’s -18 that’s the answer

8 0
3 years ago
Hellllpppppppppppppp
alexandr402 [8]
It should be 54 because height times width
6 0
3 years ago
Other questions:
  • A fair coin is flipped 3 times. It lands facing heads up 2 out of 3 times.
    5·1 answer
  • During the winter, the amount of water that flows down a river remains at a low constant. In the spring, when the snow melts, th
    6·1 answer
  • What is the variance of the values 8,10,14,12?
    6·1 answer
  • Write an equation for the line whose slope is 7/2 and which contains the point (-12,-9)
    13·1 answer
  • A direct variation function contains the points (-8,-6) and (12,9) which equation represents the function
    10·1 answer
  • Complete the following equation using &lt;, &gt;, or = 3.20 ___ 3.02
    13·2 answers
  • An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290 engines
    8·1 answer
  • Help me with this problem please
    13·1 answer
  • The set of ordered pairs described in the graph below can be described as which of the following?
    9·1 answer
  • Suppose the bacteria population in a specimen increases at a rate proportional to the population at each moment. There were 100
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!