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2 years ago

Can I please get some help with this problem?

Mathematics

1 answer:

Monica [59]2 years ago

4 0

Answer:

a = 55

Step-by-step explanation:

By exterior angle theorem:

a+10 + 44 = 2a

a= 55

Here's the proof:

Consider the same figure shown

say a+10 = x and 44 = y

Thus the remainng angle is 180 - x-y

and the exterior angle is 180- ( 180 - x- y) = x+y

Thus proved

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Help my homework pls!!!!!!

Hitman42 [59]

Answer:

(2x^2 + x-3)/(4x^2-9)

Step-by-step explanation:

The denominator looks like an expression in which we have applied the difference of two squares to

In that case, we know that;

a^2-b^2 = (a-b)(a+ b)

That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;

(2x + 3)(2x-3) = 4x^2 - 9

Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial

That means;

(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3

So we have the original expression as;

(2x^2 + x-3)/(4x^2-9)

4 0

2 years ago

PLEASE HELP ME!!! THE RIGHT ANSWER WILL GET THE BRAINIEST!

Lina20 [59]

Answer:

$\sf D) \quad s=8 \frac{1}{4}t$

Step-by-step explanation:

t = time (in hours) → this is the independent variable
s = total area cleaned (in square feet) → this is the dependent variable (as the number of square feet cleaned depends on the number of hours worked)

Therefore, if the rate of cleaning is 8 1/4 square feet per hour, the relationship between s and t is:

$\sf s=8 \frac{1}{4}t$

8 0

1 year ago

The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of

Nataly [62]

Answer:

see below

Step-by-step explanation:

Any number between 650 and 749, 650 and 749 are included as well

if number is 50 and above it goes up

8 0

2 years ago

Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.

Elina [12.6K]

• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00

6 0

2 years ago

Read 2 more answers

Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.

kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

$\frac{4}{8}=\frac{1}{2}$

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

$P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)$ $Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)$ $R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)$

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent

8 0

2 months ago