Answer:
![u = -45](https://tex.z-dn.net/?f=u%20%3D%20-45)
Step-by-step explanation:
<u>Step 1: Multiply both sides by -9/2</u>
<u />![-\frac{2}{9}u = 10](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B9%7Du%20%3D%2010)
![-\frac{9}{2} *-\frac{2}{9}u = 10 * -\frac{9}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B2%7D%20%2A-%5Cfrac%7B2%7D%7B9%7Du%20%3D%2010%20%2A%20-%5Cfrac%7B9%7D%7B2%7D)
![u = -\frac{90}{2}](https://tex.z-dn.net/?f=u%20%3D%20-%5Cfrac%7B90%7D%7B2%7D)
![u = -45](https://tex.z-dn.net/?f=u%20%3D%20-45)
Answer: ![u = -45](https://tex.z-dn.net/?f=u%20%3D%20-45)
Easiest way to solve these problems would be setting up a proportion.
![\frac{27}{6} = \frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B6%7D%20%3D%20%5Cfrac%7Bx%7D%7B2%7D)
Let x = ... well... our missing x
Now, we crossmultiply.
6x = 27(2)
6x = 54
x = 54/6
x = 9
X -2 -1 0 1 2
y -8/3 -7/3 -2 -5/3 -4/3
Points to plot:
(-2,-8/3)
(-1,-7/3)
(0,-2)
(1,-5/3)
(2,-4/3)
Hey there...
The correct answer is (C) 105° and here's how I got it.
-3+18x+13+=180° (they are corresponding angles and sum upto 180°)
next step is collecting the like terms so we have 18x+13x-3-3=180°. which is the same thing as 18x+13x-6=180° so you add 6 to both sides and we'll have 18x+13x=186 so we solve for x by adding 18x to 13x which gives 31x then we divide so we have 31x/31=186/31 and x=6.
Plug in the values of x and the equation will give -3+18(6)= 105° and the angle happens to be a vertical angle so B= 105°.
Hope it helps :)
Answer:
Voir ci-dessous.
Step-by-step explanation:
1.
OA/OD = 36/64 = 9/16
OB/OC = 27/48 = 9/16
m<AOB = m<COD
triangle AOB ~ trianlge DOC
m<BAO = m<CDO
AB || CD
2.
AB/CD = OA/OD
AB/80 = 36/64
AB/80 = 9/16
16AB = 9 × 80
AB = 9 × 5
AB = 45
AB = 45 cm
3.
AB = 45
BC = OC + OB = 48 + 27 = 75
AB² + AC² = BC²
45² + AC² = 75²
AC² = 5625 - 2025
AC = √3600
AC = 60 cm
hauteur = 5 × 2 cm + 4 × 60 cm
hauteur = 10 cm + 240 cm
hauteur = 250 cm