Concept explainers
To find: whether the measurement of exterior angle will be always greater than the sum of nonadjacent interior angles or not state with explanation.
Answer to Problem 48E
The exterior angle will be equal to two nonadjacent interior angles not greater than two nonadjacent interior angles.
Explanation of Solution
Given:
exterior angle and interior angle.
Concept used:
Sum of the three angles of triangle is always
Exterior angle theorem:
The exterior angle will be equal to two nonadjacent interior angles.
Calculation:
No, it is not true that exterior angle will be always greater than two nonadjacent interior angles.
According to the exterior angle theorem:
The measurement of an exterior angle in a triangle is always equal to the sum of measurement of the two nonadjacent interior angles.
Hence, exterior angle will be equal to two nonadjacent interior angles not greater than two nonadjacent interior angles.
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
- j) f) lim x+x ex g) lim Inx h) lim x-5 i) lim arctan x x700 lim arctanx 811xarrow_forward4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2 cos(5x) dx e) √ 35x6 3+5x7 dx 3 g) reve √ dt h) fx (x-5) 10 dx dt 1+12arrow_forwardI just need help with evaluating these limits.arrow_forward
- 3. Differentiate the following functions. Show your work where applicable. a) y = e³x b) f(x)=2 cos(5x) c) y = 1 - 2 d) y = In|secx| e) f(t) = t² e√t f) f(x) = 1+x x sin x 3arrow_forwardBit in a bind with the matharrow_forwardQuadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth if necessary. BCDEFGHI2737.55arrow_forward
- Please help on both Part b) and c) below Thanksarrow_forwardfind the zeros of the function algebraically: f(x) = 9x2 - 3x - 2arrow_forwarda small pond contains eight catfish and six bluegill. If seven fish are caught at random, what is the probability that exactly five catfish have been caught?arrow_forward
- Listen A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 112 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardSolve by the quadratic formula or completing the square to obtain exact solutions. 2 e 104 OA) -16±3√6 B) 8±√10 O c) -8±√10 OD) 8±3√√6 Uarrow_forwardQuestion 14 (1 point) Listen The frame on a picture is 18 in by 22 in outside and is of uniform width. Using algebraic methods, what is the width of the frame if the inner area of the picture shown is 250 in²2? Write answer to 2 decimal places. (Write the number with no units). 18 in Your Answer: 22 inarrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education