MATHEMATICS MIDDLE SCHOOL

Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa show in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?

Answers

Answer 1

Answer:

Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

line AC is runway A;
line BD is runway B;
line AB is runway C.

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

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THE RATIO JOE`S BLUE BOATS TO GREEN BOATS IS 5:7 JOE HAS 15 BLUE BOATS. HOW MAY GREEN BOAT DOES JOE HAVE?

Answers

21 because you do 7 times 3. you do this becuase you did times three to the other side

the answer is 21. (3×7)

olivia has 18 marbles ,mason has 24 marbles,nia has 63 marbles,and eric has 75 marbles. each person packaged their marbles in groups of 9 after the marbles are packaged,who will have marbles left over

Answers

Answer:

Mason's and Eric's

Step-by-step explanation:

We are given that:

Olivia has 18 marbles ,Mason has 24 marbles,Nia has 63 marbles,and Eric has 75 marbles.

Each person packed their marbles in groups of 9.

We have to find who will have marbles left over.

Olivia has 18 marbles which can be packed as (9+9=18)

Mason has 24 marbles which can be packed as (9+9=18 and 6 will be left unpacked)

Nia has 63 marbles which can be packed as (9+9+9+9+9+9+9=63)

and Eric has 75 marbles which can be packed as (9+9+9+9+9+9+9+9=72 and 3 will be left unpacked)

Hence, Mason's and Eric's marbles are left unpacked

Mason will have 6 left over Eric will have 3 left over.

Oliva= 9 +9 = 18 ( no left over)
Mason= 9+9=18+6 =24 ( 6 left over)
Nia= 9+9+9+9+9+9+9=63 (no left over)
Eric= 9+9+9+9+9+9+9+9=72+3=75 (3 left over)

Can anyone tell me everything there is to know about functions?How they're solved
Its formula
etc.
(30 pts)

Answers

Answer:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

Step-by-step explanation:

Question 1: Calculate the slope, x-intercept and y-intercept of a linear equation, f(x) = 5x + 4 ?

Solution:

Given,

f(x) = 5x + 4

The general form of a linear equation is,

f(x) = mx + c

So,

Slope = m = 5

Substitute f(x) = 0,

0 = 5x + 4

5x = -4

x = −45

The x-intercept is (−45, 0)

Substitute x = 0,

f(x) = 5(0) + 4

f(x) = 0 + 4

f(x) = 4

The y-intercept is (0,4)

Answer:

function junction

Step-by-step explanation:

Why is there no commutative property for subtraction or division? Show examples.

Answers

if you do 17 - 15 the answer will be positive but do the reverse and u get a negitive same for division

Pls help Find the sum.3
5+−
1
5
3
5+−
1
5=two fifths
2
5 (Type an integer or a fraction.)

Answers

Answer:

Calculator soup has a calculator that can do that

Step-by-step explanation:

2/5
Just subtract the numerators

Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?