All categories

3 years ago

If the measure of angle DCF = 34 and the measure of angle DEF = 90, find the measure of angle CDE.

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Answer:

118

Step-by-step explanation:

Triangle CDE contains angles CDE, DCR and DER

Angles DCR=17 and DER=45 because in a kite, the diagonal on the line of symmetry bisects the angles and 34-2=17 90/2=45

The angles in a triangle add up to 180 and 180-17-45=118, meaning angle DER=118

You might be interested in

Write down the rules for multiplication and division of whole numbers

MAXImum [283]

As division is the inverse of multiplication, the rules for division are the same as the rules for multiplication. So when multiplying and dividing positive and negative numbers remember this: If the signs are the same the answer is positive, if the signs are different the answer is negative.

8 0

2 years ago

One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard

Charra [1.4K]

Answer:

No, the bid is not correct.

Step-by-step explanation:

One of your employees is bidding on a carpet installation job.

They estimate that it will take 3 hours to install 12 square yards of carpeting.

we know that 1 square yard= 9 square foot.

12 square yard= 12×9 square foot=108 square foot

i.e. it takes 3 hours to carpet 108 square foot.

Hence time taken to carpet 1 square foot= $\dfrac{3}{108}$ hour

Now the dimension of room is:

11' 6"× 12' 9" i.e. we convert both the units to foot as:

1 foot= 12 inch

11'6"=11+(6/12)=11.5 foot.

and 12'9"=12+(9/12)=12.75 foot.

Hence, dimension of room=11.5 foot×12.75 foot

Hence area of room=11.5×12.75=146.625 square foot.

Time to carpet 146.625 square foot=

$\dfrac{3}{108}\times 146.625$ hour

=4.0729 hour

But it is given that it takes 12.3 hours to install the carpet.

Hence, the calculations were wrong.

6 0

2 years ago

Read 2 more answers

At a ski lift, 41 people are waiting to board cars that hold 6 people each. How many cars will be completly filled? How many peo

Aleksandr [31]

Answer:

6 will be filled

There will be 5 to ride the last car.

Rate 5 stars thanks.

6 0

2 years ago

use the discriminant to determine how many and what kind of solutions the quadratic equation x²-x=-1/4 has

pantera1 [17]

$\bf x^2-x=-\cfrac{1}{4}\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{4}}{4x^2-4x=-1}\implies 4x^2-4x+1=0$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{+1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-4)^2-4(4)(1)\implies 16-16\implies \boxed{0}$

4 0

3 years ago

Please help me with this

Zina [86]

Answer:

1.Triangle is heavier than a square.

2.Circle is lighter than the triangle and square.

3.3 squares won't be balanced between one triangle.

Step-by-step explanation:

Imagine Triangle is 10 and Square is 3

Triangle is heavier.

Imagine Circle is 1

3+3+3=9 also 3 squares

3 squares + 1 circle = 10

as one circle equals 1.

3 0

3 years ago