All categories

2 years ago

Khan Academy Question

Mathematics

1 answer:

Mama L [17]2 years ago

4 0

Answer:

Step-by-step explanation:

Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.

Angles PDA and ADR are complementary.

Angles ODU and UDR are complementary.

Angles ADR and UDR are given as congruent.

We can conclude that angles PDA and ODU are congruent.

By AA Similarity, triangles APD and UMD are similar.

DP/DM = PA/MU

3.75/10 = 4.5/MU

3.75MU = 10 × 4.5

MU = 12 (altitude of triangle DUO)

OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)

area = base × height / 2

area = 14 × 12 / 2

area = 84

You might be interested in

Which of the following sets could be the sides of a right triangle?

o-na [289]

Answer:

1st answer

Step-by-step explanation:

From pythagorus theorem.

Since hypotenuse

$= \sqrt{ {2}^{2} + {3}^{2} }= \sqrt{ {13}}$

4 0

3 years ago

In a study of stress levels in U.S. army recruits stationed in Iraq, researchers obtained a complete list of the names of recrui

timama [110]

Answer:

The population in a statistical study is determined by all the individuals that could be part of the study, that is, all the individuals that have common characteristics that make them individuals of interest to the researcher.

In the study of the previous statement, the population is made up of all recruits from the US Army. UU. in Iraq at the time of the study.

Step-by-step explanation:

7 0

3 years ago

Can someone help me please solving this maths problems.

masya89 [10]

1. Six. x x x x x x
x x x x x x

2. Two o o o o o
o o o o o

3. Four. # # # #
# # # #
# # # #
# # # #

4. Eight. @ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @
@ @ @

5. Three. + + + + +
+ + + + +
+ + + + +

6 0

3 years ago

Ms. Bruckner sells a car for $16,400. How much does she earn with a 1.4% commission?

Kitty [74]

About 6,000 Double check the answer i gave you.

7 0

3 years ago

Whats the answer to log <img src="https://tex.z-dn.net/?f=log_%7Bx%2B2%7D%20%289x%29%20%3D2" id="TexFormula1" title="log_{x+2} (

lyudmila [28]

Answer:

x= 1, 4

Step-by-step explanation:

$log_{x+2} (9x) =2\\\\9x = (x+2)^2 \\\\(x+2)^2 - 9x = 0\\\\x^2 +4x + 4-9x = 0\\\\x^2 - 5x +4= 0\\\\x^2 - 4x-x+4=0\\\\x(x-4)-1(x-4)=0\\\\(x-4)(x-1)=0\\\\x-4 =0\: or\: x - 1=0\\\\x = 4\: or\: x = 1\\\\x = 1,\: 4$

4 0

3 years ago