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3 years ago

Please hurry i neeeed this fast!!!

Mathematics

2 answers:

lina2011 [118]3 years ago

5 0

Answer:

consecutive interior angles

Step-by-step explanation:

inside of the angle and consecutive to each other

marta [7]3 years ago

3 0

Answer:

consecutive angles

Step-by-step explanation

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Ribbon is sold by the foot. If Heather is making 84 bows, how many feet of ribbon must she buy?

Anuta_ua [19.1K]

Answer:

84 feet of ribbon is needed

Step-by-step explanation:

Given : Ribbon is sold by the foot. If Heather is making 84 bows, how many feet of ribbon must she buy?

Explanation : If ribbon is sold by the foot, then if Heather is making 84 bows, then Heather would need 84 feet

To put in simple terms - 1 bow needs 1 foot of ribbon

7 0

3 years ago

What is 1/4y-1=1/2x+7

Setler79 [48]

Answer:

a linear equation in x and y

Step-by-step explanation:

The given equation is a linear equation (all variables to the first power) relating the variables x and y. There are an infinite number of values of x and y that will satisfy this equation.

When graphed on an x-y plane, those solution values will fall on a straight line with a slope of 2. It will cross the y-axis at y=32, and the x-axis at x=-16.

8 0

2 years ago

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

$\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}$

substitute the given values

$\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}$

$0.67=0.67=0.67$ ----- is true

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0

3 years ago

—— ——

blsea [12.9K]

Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )

To Prove: QS=TV

Proof: In ΔNQT

NQ=NT

$\frac{1}{2}NQ=\frac{1}{2}NT$

∴ VQ=ST

In a isosceles triangle, If two sides are equal then their opposites angles are equal.

∴ ∠NQT=∠NTQ ( ∵ NQ=NT)

In ΔQST and TVQ

ST=VQ (sides of isosceles triangle)

∠NQT=∠NTQ (Prove above)

QT=TQ (Common)

So, ΔQST ≅ TVQ by SAS congruence property

∴ QS=TV (CPCT)

CPCT: Congruent part of congruence triangles.

Hence Proved

5 0

3 years ago

Stacy wants to build a patio with a small, circular pond in her backyard.The pond will have a 6-foot radius. She also wants to i

solong [7]

First we are going to find the Area of the pond using the area of a circle formula: $A= \pi r^2$
where
$A$ is the area of the circle
$r$ is the radius of the circle
We know for our problem that the pond will have a 6-foot radius, so $r=6$ . Lets replace that value on our area formula:
$A= \pi r^2$
$A= \pi (6)^2$
$A=113.1ft^{2}$
We know that the <span>cost of installing the pond is $0.62 per square foot, so lets multiply the area we just found by the cost:
Total cost of pund=</span> $(0.62)(113.1)=70.12$ dollars

Now, let $x$ be the width the rectangle, so its length will be $x+13$ . Remember that the area of a rectangle is width times length, so:
$A=x(x+13)$
$A=(x^2+13x)ft^2$
Since the cost of installing ties is $1, the cost of installing ties in our rectangle will be x^2+13x dollars.

<span>Stacy can spend no more than $536 on this project, so we can setup an inequality relating the cost of the pound and the cost of installing ties:
</span> $70.12+x^2+13x \leq 536$
$x^2+13x \leq 465.88$

We can conclude that the inequality that can be used to fin the width, $x$ , of the patio is $x^2+13x \leq 465.88$

6 0

3 years ago