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
lianna [129]
3 years ago
7

Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.

Mathematics
2 answers:
frutty [35]3 years ago
6 0

Answer:

a = 35     b = 25

Step-by-step explanation:

Triangles always add up to 180 degrees.  Knowing this we can first solve the triangle with the right angle.

55 + 90 + a = 180

Before we solve this, keep in mind that the reflective property will be used on angle a, giving the answer to the third angle in the second triangle.

145 + a = 180

-145        -145

a = 35

Now that we have a solved use the reflective property to get it on the second triangle.

120 + 35 + b = 180

155 + b = 180

-155        -155

b = 25

There you have your two angles.

Hope this helped you out.

soldier1979 [14.2K]3 years ago
3 0

For a.

Since there are already two angles given for the triangle, we can measure the last angle using this formula:

90 + 55 + a = 180

Now solve for "a".

90 + 55 + a = 180

145 + a = 180

a = 180 - 145

a = 35°

For b.

From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.

Now that we have two angles in the second triangle(35 and 120), we can use the same formula:

35 + 120 + b = 180

Now solve for "b":

35 + 120 + b = 180

155 + b = 180

b = 180 - 155

b = 25°

You might be interested in
3x+2=7x+6 what is x​
dolphi86 [110]

Answer:

x=-1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
9. What is the formula to find the sum of the interior angles for any polygon?
SOVA2 [1]

polygon: (n-2) × 180

n: nonagon

octagon has 8 sides

3 0
3 years ago
A graph is shown in the picture. Which root has the multiplicity of 3?
kari74 [83]
I think the awnser is c
8 0
2 years ago
3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
elixir [45]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Question 1
Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by  10^{3}=1000, to  get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each  1000 people)

step 2

Replace

S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\

the number of deaths have increased (from 210 to 250)

Have a great day

5 0
3 years ago
Other questions:
  • WHAT IS 5X SOMETHING THAT EQUALS 120 BESIDES 24 X 5? SOMEONE PLEASE
    14·1 answer
  • On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d
    7·1 answer
  • What is the value of x in the equation 8(4-x)=7x+2
    8·1 answer
  • 3(-6+8)=(3x-6)+(3x8)
    10·2 answers
  • Convert the rate of 24 in/sec to an equivalent rate measured in ft/sec
    8·1 answer
  • Solve the equation 2(x+1)=-2​
    5·1 answer
  • Claudia is reading a book that has 360 pages. she read some of the book last week. she plans to read 46 pages. when she does, sh
    8·1 answer
  • my number has a tens digit that is 8 more than the ones digit zero is not one of my digits my number is
    7·1 answer
  • The lines p and q intersect at point O.
    6·1 answer
  • Interpret two-step equation word problems (7th grade math)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!