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3 years ago

Find the measure of ∠1. A. 240º B. 40º C. 140º D. 70º

Mathematics

2 answers:

olga_2 [115]3 years ago

8 0

Answer:

B 40

Step-by-step explanation:

on e2020 and its very simple math

frez [133]3 years ago

6 0

The answer is B because 140 plus 40 is 180

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48x + 6 factored is 6 (8x + 1)<br> True<br> False

stepladder [879]

Answer:

true

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The width of a deck is 5 feet shorter than its length. The equation that represents this situation is y = x – 5. What does x rep

ollegr [7]

X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.

8 0

3 years ago

Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be $x^2$ then the next square number is $(x+1)^2$ .

The difference between these two consecutive numbers is 99.

This implies that:

$(x+1)^2-x^2=99$

We expand to get:

$x^2+2x+1-x^2=99$

Simplify:

$2x=99-1$

$2x=98$

Divide both sides by 2

$x=49$

Therefore the value of the larger perfect number is

$(49+1)^2=50^2=2500$ .

6 0

3 years ago

For every 8 knee bends that Zoey did during the physical fitness test, Cole did 5. Zoey was able to do 33 more knee bends than C

Ludmilka [50]

Answer:

Step-by-step explanation:

difference=8-5=3

if difference is 3 Cole bends=5 times

if difference is 33 Cole bends=(5/3)×33=55 times

5 0

2 years ago

A parabola can be drawn given a focus of

Volgvan

Answer:

$y=-\frac{1}{4}(x-2)^{2}+9$

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at $(2,8)$ .

Directrix of the parabola is $y=10$ .

Let $(x,y)$ be any point on the parabola. Then, from the definition of a parabola,

Distance of $(x,y)$ from focus = Distance of $(x,y)$ from directrix.

Therefore,

$\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|$

Squaring both sides, we get

$(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9$

Hence, the equation of the parabola is $y=-\frac{1}{4}(x-2)^{2}+9$ .

4 0

3 years ago