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
Alenkasestr [34]
3 years ago
8

Triangle 1 has an angle that measures 62° and an angle that measures 14°. Triangle 2 has an angle that measures 14° and an angle

that measures x°, where x ≠ 62º. Based on the information, Bob claims that triangle 1 and triangle 2 cannot be similar.
2. What value of x, in degrees, will refute Bob’s claim?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

<u>If x ≠ 62° and we want to Refute Bob's claim that  Δ1 and  Δ2 cannot be similar, the value of x should be:</u>

<u>x = 104°</u>

Step-by-step explanation:

<u>Let's recall that the interior angles of a triangle add up to 180°, therefore:</u>

Δ 1 = ∠62° + ∠14° + ∠180° - (62° + 14°)

Δ 1 = ∠62° + ∠14° + ∠104°

Then,

Δ 2 = ∠x° + ∠14° + ∠180° - (x° + 14°)

Δ 2 = ∠x° + ∠14° + ∠166° - x°

<u>If x ≠ 62° and we want to Refute Bob's claim that  Δ1 and  Δ2 cannot be similar, the value of x should be:</u>

x = 104°

<u>Replacing with x = 104, in  Δ 2 = ∠x° + ∠14° + ∠166° - x°:</u>

Δ 2 = ∠104° + ∠14° + ∠166° - 104°

Δ 2 = ∠104° + ∠14° + ∠62°

You might be interested in
Each month, Angela budgets $1340 for fixed expenses, $850 for living expenses, and $60 for annual expenses. Her annual net incom
erma4kov [3.2K]
Yearly budget= $26,760

Fixed expenses per month= $1340
Fixed expenses per year (1340×12) =$16,080

Living expenses per month= $850
Living expenses per year (850×12)= $10,200

Annual expenses= $60

Add ALL the expenses together.
16,080+10,200+60= £26340

Therefore her monthly budget is balanced. Shes not in deficit.

D
4 0
2 years ago
Read 2 more answers
What place does the 3 have in 8.3
Ghella [55]
The 3 is in the tenths place
3 0
3 years ago
Read 2 more answers
A triangle has a right angle and an acute angle of 51 degree's and X. What is X? (Number Only)
Diano4ka-milaya [45]

Answer:

39°

sum of triangle's interior angles: 180°

180°-90°-51°=39°

6 0
3 years ago
Which box is greater,a 1.5 lb box of raisins or a 650 gram box of raisins
ladessa [460]

First you would have to either make everything pounds or everything grams. If you chance everything into grams it would be about 680, so the 1.5 pound box of raisens would be more. 
4 0
3 years ago
Ippppppppppppppppppopkokhiufytedfliyhuigjboihlk.h
Lemur [1.5K]

Answer:

it b

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • (4) need help and the answer
    14·1 answer
  • What is the area of the figure below
    12·1 answer
  • Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.
    13·1 answer
  • Which is the graph of a quadratic equation that has a positive discriminate?
    15·2 answers
  • Rounding 51,732 to the nearest 10th
    8·1 answer
  • Apples cost $0.95 per pound and bananas cost $1.10 per pound. Brian bought a total of 10 pounds of apples and bananas for $9.95
    6·1 answer
  • Use deductive reasoning to solve the equatlon 2-3x = -4. The solution Is x =​
    10·1 answer
  • Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
    9·1 answer
  • Please help i have an F in math!<br><br> what is the area of this parallelogram?
    6·2 answers
  • What is (1,3) rotated in 180 degrees?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!