All categories

3 years ago

What are the measures of ∠1, ∠2, ∠3 and∠4 ? Enter your answers in the boxes.

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

4 0

Step-by-step explanation:

Since line p and q is parallel, m∠2=61°.

m∠2 and m∠3 are in a straight line. thus, m∠2+m∠3 = 180°.

61° + m∠3 = 180°

m∠3 = 119°

total angle in triangle is 180°

m∠1 + m∠2 + 60° = 180°

m∠1 + 61° + 60° = 180°

m∠1 = 59°

m∠1 = m∠4 = 59°

You might be interested in

How does a change in demand relate to a demand curve

marissa [1.9K]

A change in any one of the underlying factors that determine what quantity people are willing to buy at a given price will cause a shift in demand. Graphically, the new demand curve lies either to the right (an increase) or to the left (a decrease) of the original demand curve.

7 0

3 years ago

After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with

Cerrena [4.2K]

I'm going to out on a limb and say 16 in.

4 pieces * 4 in. = 16

5 0

3 years ago

The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h

noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 g
A = 250 cm²
T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)
K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²
T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)
M = 960 g

Hence, the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0

2 years ago

Find the general indefinite integral. (use c for the constant of integration. )

Vlada [557]

The indefinite integral will be $\int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)$

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:

$\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C$

Integration Property [Multiplied Constant]:

$\int cf(x)dx=c\int f(x)dx$

Integration Property [Addition/Subtraction]:

$\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx$

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

$\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx -\int 2dx$

[Integrals] Rewrite [Integration Property - Multiplied Constant]:

$\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx -2\int dx$

[Integrals] Reverse Power Rule:

$\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C$

Simplify:

$\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

So the indefinite integral will be $\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C$

To know more about indefinite integral follow

brainly.com/question/27419605

#SPJ4

7 0

2 years ago

ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75

Semmy [17]

Answer:

$140

Step-by-step explanation:

i assume ur asking for how much is left over

250-35= 215

215-75= 140

$140 left

6 0

3 years ago